#import dataset

airline<-read.csv("/Users/anniefrancis/Desktop/airq402.dat.csv")


#initial data exploration

names(airline)
##  [1] "City1"                        "City2"                       
##  [3] "Average.Flight.Fare"          "Distance"                    
##  [5] "Average.Weekly.Passengers"    "Market.Leading.Airline..MLA."
##  [7] "Market.Share.MLA"             "Average.MLA.Fare"            
##  [9] "Low.Price.Airline..LPA."      "Market.Share.LPA"            
## [11] "Average.LPA.Fare"
str(airline)
## 'data.frame':    1000 obs. of  11 variables:
##  $ City1                       : chr  "CAK" "CAK" "ALB" "ALB" ...
##  $ City2                       : chr  "ATL" "MCO" "ATL" "BWI" ...
##  $ Average.Flight.Fare         : num  114.5 122.5 214.4 69.4 158.1 ...
##  $ Distance                    : int  528 860 852 288 723 1204 2237 2467 1073 1130 ...
##  $ Average.Weekly.Passengers   : num  425 277 216 607 313 ...
##  $ Market.Leading.Airline..MLA.: chr  "FL" "FL" "DL" "WN" ...
##  $ Market.Share.MLA            : num  70.2 75.1 78.9 97 39.8 ...
##  $ Average.MLA.Fare            : num  111 123.1 224 68.9 161.4 ...
##  $ Low.Price.Airline..LPA.     : chr  "FL" "DL" "CO" "WN" ...
##  $ Market.Share.LPA            : num  70.19 17.23 2.77 96.97 15.34 ...
##  $ Average.LPA.Fare            : num  111 118.9 167.1 68.9 145.4 ...
#Univariate analysis(descriptive stats/distributions)

library(psych)
library(ggplot2)
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
library(DataExplorer)


describe(airline)
##                               vars    n    mean     sd median trimmed    mad
## City1*                           1 1000   36.67  23.28  32.00   35.66  26.69
## City2*                           2 1000   51.20  22.36  53.50   52.40  28.91
## Average.Flight.Fare              3 1000  163.38  55.37 161.35  160.87  53.37
## Distance                         4 1000 1056.97 643.20 919.00  990.12 598.23
## Average.Weekly.Passengers        5 1000  672.28 766.52 404.78  514.49 263.08
## Market.Leading.Airline..MLA.*    6 1000    9.15   5.36  11.00    9.41   5.93
## Market.Share.MLA                 7 1000   60.13  19.37  59.24   59.76  20.01
## Average.MLA.Fare                 8 1000  166.65  62.66 161.40  162.60  57.66
## Low.Price.Airline..LPA.*         9 1000   11.08   6.07  11.00   11.47   8.90
## Market.Share.LPA                10 1000   34.55  27.10  26.14   31.63  22.91
## Average.LPA.Fare                11 1000  143.19  47.23 137.82  140.00  40.79
##                                  min     max   range  skew kurtosis    se
## City1*                          1.00   90.00   89.00  0.27    -1.00  0.74
## City2*                          1.00   85.00   84.00 -0.34    -0.92  0.71
## Average.Flight.Fare            50.52  401.23  350.71  0.52     0.35  1.75
## Distance                      108.00 2724.00 2616.00  0.80    -0.32 20.34
## Average.Weekly.Passengers     181.41 8950.76 8769.35  4.42    30.16 24.24
## Market.Leading.Airline..MLA.*   1.00   16.00   15.00 -0.25    -1.56  0.17
## Market.Share.MLA               17.68  100.00   82.32  0.14    -0.68  0.61
## Average.MLA.Fare               50.52  490.03  439.51  0.83     1.42  1.98
## Low.Price.Airline..LPA.*        1.00   19.00   18.00 -0.28    -1.32  0.19
## Market.Share.LPA                1.06  100.00   98.94  0.82    -0.39  0.86
## Average.LPA.Fare               49.61  387.94  338.33  0.87     1.61  1.49
plot_density(airline)

pairs.panels(airline)

plot_histogram(airline)

#Bi-variate/multi-variate analysis
plot_correlation(airline)
## 2 features with more than 20 categories ignored!
## City1: 90 categories
## City2: 85 categories

#Outlier Detection

#Boxplots


# Drop the categorical columns
airplots <-airline[, !(names(airline) %in% c("City1", "City2", "Market.Leading.Airline..MLA.", "Low.Price.Airline..LPA."))]


boxplot(airplots)

#outliers are detected for Average Weekly Passengers

plot(airplots$Average.Weekly.Passengers)

#Performing normality test to check influence of outliers

shapiro.test(airline$Average.Weekly.Passengers)
## 
##  Shapiro-Wilk normality test
## 
## data:  airline$Average.Weekly.Passengers
## W = 0.58645, p-value < 2.2e-16
#p-value < 2.2e-16
#the output of shapiro.test() shows a p-value less than 0.05
#The data does not follow a normal distribution (reject H₀).
variables_of_interest <- c("Average.Flight.Fare", "Distance", "Average.Weekly.Passengers",
                           "Market.Share.MLA", "Average.MLA.Fare",
                           "Market.Share.LPA", "Average.LPA.Fare")
df_subset <- airplots[, variables_of_interest]

# Create pairplot using pairs() function
pairs(df_subset)

#Average Flight fare is most corelated to fare of market leader and low performing flight with mild corelation with Distance as well
#Variabes need to be scaled before further analysis
#Transformation seems unnecessary as most data points don't show any clear trend with Average flight Fare.
#removing outliers using the IQR method in R:

# Calculate IQR
Q1 <- quantile(airplots$Average.Weekly.Passengers, 0.25)
Q3 <- quantile(airplots$Average.Weekly.Passengers, 0.75)
IQR <- Q3 - Q1

# Identifying outliers using IQR method
outliers <- airplots[airplots$Average.Weekly.Passengers < (Q1 - 1.5 * IQR) | 
                       airplots$Average.Weekly.Passengers > (Q3 + 1.5 * IQR), ]

#removing outliers
airline_clean <- airplots[!(airplots$Average.Weekly.Passengers < (Q1 - 1.5 * IQR) | 
                              airplots$Average.Weekly.Passengers > (Q3 + 1.5 * IQR)), ]




#summary statistics after outlier treatment
summary(airline_clean$Average.Weekly.Passengers)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   181.4   249.4   375.3   501.4   652.5  1519.9
plot(airline_clean$Average.Weekly.Passengers)

boxplot(airline_clean)

#outliers have been treated for Average.Weekly.Passengers
library(caret)
## Loading required package: lattice
#one hot encoding

#7 variables are continous variables and 4 variables are characters
#Hence,  City1, City2, Market Leading Airline (MLA), and Low Price Airline (LPA) 

# Assuming your dataset is stored in a data frame called 'df'

# Performing  one-hot encoding on the specified columns
dummy_vars <- dummyVars(~City1+City2+Market.Leading.Airline..MLA.+Low.Price.Airline..LPA., data = airline)
one_hot_encoded <- predict(dummy_vars, newdata = airline)

# Converting the result to a data frame
airdata_encoded <- data.frame(one_hot_encoded)

#resulting data frame to check
print(airdata_encoded)
##     City1ABQ City1ACY City1ALB City1AMA City1ATL City1AUS City1BDL City1BHM
## 1          0        0        0        0        0        0        0        0
## 2          0        0        0        0        0        0        0        0
## 3          0        0        1        0        0        0        0        0
## 4          0        0        1        0        0        0        0        0
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## 6          0        0        1        0        0        0        0        0
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##     Low.Price.Airline..LPA.YX
## 1                           0
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##  [ reached 'max' / getOption("max.print") -- omitted 524 rows ]
# Dropping the original columns
data <-airline[, !(names(airline) %in% c("City1", "City2", "Market.Leading.Airline..MLA.", "Low.Price.Airline..LPA."))]

# Merging the one-hot encoded columns with the original dataset
airdata <- cbind(data, airdata_encoded)

#the final data frame to check
print(airdata)
##     Average.Flight.Fare Distance Average.Weekly.Passengers Market.Share.MLA
## 1                114.47      528                    424.56            70.19
## 2                122.47      860                    276.84            75.10
## 3                214.42      852                    215.76            78.89
## 4                 69.40      288                    606.84            96.97
## 5                158.13      723                    313.04            39.79
## 6                135.17     1204                    199.02            40.68
## 7                152.85     2237                    237.17            59.94
## 8                190.73     2467                    191.95            17.89
## 9                129.35     1073                    550.54            76.84
## 10               134.17     1130                    202.93            35.40
## 11               212.49     1269                    198.80            68.39
## 12               173.56     1670                    312.39            49.16
## 13               170.67     1121                    364.78            45.94
## 14               120.24      580                    839.78            71.91
## 15               168.69      349                    308.26            59.55
## 16               154.40      767                    372.93            50.48
## 17               114.24      487                    620.86            93.92
## 18               132.29      677                    655.00            89.46
## 19               181.99      981                    187.28            65.00
## 20               233.05     1825                    344.45            31.33
## 21               162.21      889                    388.15            88.63
## 22               161.74     1552                    190.65            72.29
## 23                71.57      328                   1252.39            77.65
## 24               163.63     1111                    222.93            57.24
## 25               134.42      628                    346.30            82.92
## 26               165.69     1180                    284.34            47.82
## 27                77.82      321                    191.19            86.29
## 28               227.93     1650                    301.84            46.59
## 29                74.82      324                    615.10            82.04
## 30               120.50      545                    229.78            58.79
## 31               205.24      812                    377.50            75.72
## 32               132.52      576                   1453.91            67.61
## 33               156.55      946                   1834.34            75.26
## 34               117.85      712                    446.41            46.06
## 35               233.63      227                    292.50            69.26
## 36               146.06      606                   2885.76            40.28
## 37               234.20      373                    294.78            94.80
## 38               184.90      554                    455.65            58.01
## 39               195.72      446                    379.56            85.99
## 40               147.50      732                   2358.04            55.36
## 41               112.28      432                    705.86            61.65
## 42               194.55     1199                   1041.95            52.95
## 43               133.80      594                   1141.52            48.45
## 44               118.93      644                    251.41            92.69
## 45               132.00      581                   1488.80            69.05
## 46               131.40      515                    410.97            75.16
## 47                96.78      306                    525.32            75.35
## 48                94.95      352                    259.67            58.26
## 49               211.09      859                    536.52            81.42
## 50               136.03      696                   1453.04            52.49
## 51               208.60      432                    385.32            82.99
## 52                94.79      270                    828.80            79.46
## 53               110.60      692                    848.04            72.60
## 54               221.95     1747                    743.47            65.27
## 55               259.76     1946                   1376.84            62.06
## 56               243.22      321                    212.17            95.03
## 57               103.47      332                    896.08            61.83
## 58               129.21      595                   1333.47            54.27
## 59               103.19      669                    678.91            47.69
## 60               138.67      906                   1036.08            42.55
## 61               209.89      214                    220.21            91.06
## 62               116.41      425                    950.00            76.30
## 63                98.62      508                    370.54            83.60
## 64               150.38      761                   6185.43            64.65
## 65               130.89      516                    384.56            89.88
## 66               227.23     2130                    249.13            42.93
## 67               198.07      761                    209.45            79.29
## 68               199.73      821                    196.08            64.41
## 69               210.45     1900                    302.28            51.56
## 70               137.90      403                   1434.34            60.98
## 71                92.18      272                    206.63            65.75
## 72               130.36      665                   1995.43            53.12
## 73               236.93     1587                    697.82            50.51
## 74               102.75      526                    888.58            43.03
## 75               252.66     2172                    347.60            67.19
## 76               203.29      903                    245.54            82.86
## 77                98.23      356                   1179.78            75.50
## 78               195.29      481                    372.50            93.55
## 79               115.95      749                    356.95            45.18
## 80               236.10     2092                    285.10            57.60
## 81               192.67      483                    633.80            49.92
## 82               231.06     1589                    460.32            67.55
## 83               206.36      874                    412.17            78.45
## 84               250.88     1891                    522.17            67.98
## 85               299.31     2139                    789.67            62.75
## 86               285.76     2116                    285.65            58.59
## 87               292.00     1919                    329.23            63.65
## 88                82.76      215                    342.28            91.23
## 89               265.27     2182                    620.54            63.35
## 90                95.19      223                    189.56            70.29
## 91               128.75      406                   1486.52            70.94
## 92               156.32      547                   2558.47            74.26
## 93               137.63      545                    537.93            89.53
## 94               110.61      781                    207.39            65.40
## 95               128.20      977                    431.41            99.72
## 96               127.37      982                    290.76            99.14
## 97               123.98      852                    444.23            97.01
## 98               122.38      914                    208.36            95.77
## 99               186.26     1340                    357.71            48.86
## 100              176.77      972                    589.78            66.95
## 101               90.70      183                   1266.73            79.11
## 102              150.14      768                    453.26            44.74
## 103              117.90      525                    347.93            95.87
## 104               87.71      160                    595.97            73.17
## 105              138.96     1085                    500.10            72.00
## 106              178.55     1238                    508.04            55.99
## 107               92.35      335                    267.06            96.41
## 108              258.83     1035                    207.50            69.35
## 109              132.70      753                    242.28            82.81
## 110              134.21      446                    194.45            68.47
## 111              271.07     1519                    656.95            43.58
## 112              163.37      995                    245.54            39.88
## 113              133.04      868                    461.41            48.73
## 114              177.41     1161                    186.95            46.04
## 115              153.38      717                    213.04            73.36
## 116              170.03     1161                    252.06            50.02
## 117              223.26     1471                    483.15            75.86
## 118              177.23     1764                    241.08            30.43
## 119              245.59     1313                    313.91            38.95
## 120              122.89      682                    386.08            80.46
## 121               99.16      370                   1162.71            71.51
## 122               68.57      281                    671.19            94.94
## 123              237.00      360                    198.04            93.90
## 124              129.98      621                   1870.86            40.54
## 125               83.51      314                    945.00            52.04
## 126               80.62      336                    483.26            47.09
## 127              216.89     1217                    782.06            66.00
## 128              191.68     1491                    743.69            64.22
## 129              198.83      408                    470.10            72.25
## 130              129.48      925                   1037.60            55.67
## 131              139.06      919                    252.60            68.20
## 132               74.41      283                    848.36            95.34
## 133              188.43     1246                    857.39            53.32
## 134              124.00      515                    392.39            75.40
## 135              121.07      663                    485.54            67.94
## 136              126.27      966                    442.39            59.75
## 137              156.54     2106                   1018.26            42.55
## 138               72.03      220                    490.32            99.88
## 139              196.95     2329                   1134.02            35.30
## 140               86.77      495                    565.97            89.16
## 141               74.08      377                   1299.56            96.61
## 142              144.45      946                    537.50            56.94
## 143              242.02      936                    347.82            73.40
## 144              103.89      587                    884.78            90.15
## 145              142.22      998                    540.54            46.55
## 146               71.81      159                    194.02            98.09
## 147              173.01     2446                    322.50            47.52
## 148              161.38     1180                    189.89            29.82
## 149              177.45     2283                    231.63            26.65
## 150              123.67      787                   1519.89            56.01
## 151              165.32     1998                    938.04            39.40
## 152              180.99     2358                    309.78            24.14
## 153               73.42      328                   1545.32            97.30
## 154               77.15      255                    510.54            90.35
## 155               78.49      277                    260.21            92.52
## 156              167.57     2395                    307.82            31.60
## 157              134.54      737                    722.06            51.34
## 158              180.52     1864                    387.93            36.70
## 159              173.49     1407                    432.39            42.15
## 160              181.94     2295                    701.30            25.13
## 161              266.31     2457                    413.91            70.27
## 162              186.18     2438                    265.00            33.38
## 163              176.63     2335                    495.32            17.68
## 164              125.09      842                   1071.63            55.01
## 165              172.16     1976                    214.34            34.33
## 166              137.32      883                    386.95            72.52
## 167              132.62      584                    336.19            76.13
## 168              170.24      597                    249.02            48.31
## 169              135.91      570                    318.36            54.83
## 170              156.02     1618                    192.39            59.83
## 171               76.70      321                    323.36            94.85
## 172              213.08      866                    343.91            60.11
## 173              110.20      478                    307.17            68.64
## 174              109.96      460                    270.54            82.28
## 175              141.26      649                    244.02            48.06
## 176               99.44      520                    261.84            85.26
## 177              126.18      674                    275.32            47.76
## 178              133.52      735                    251.95            62.64
## 179               80.47      344                    656.95            55.27
## 180               76.18      291                    251.30            60.12
## 181               82.23      399                    844.45            56.30
## 182               72.50      287                    354.67            76.55
## 183              228.64      727                    290.54            78.48
## 184              179.60      867                   2090.76            42.23
## 185              249.21      752                    270.00            87.39
## 186              252.85      563                    315.97            86.99
## 187              185.06      640                    307.93            57.99
## 188              248.60     1562                   1098.04            61.55
## 189              108.11      709                    214.67            33.41
## 190              213.21     1754                    930.10            64.35
## 191              237.89      632                    542.28            81.77
## 192              144.67     1237                   1254.56            67.45
## 193              148.71     1249                    723.15            77.93
## 194              236.58     1609                    667.17            68.01
## 195              141.77     1011                    208.04            50.57
## 196              167.56     1256                    265.43            35.70
## 197              170.57     2381                    865.65            43.54
## 198              314.01     2611                   1259.02            38.28
## 199              191.79     1139                    188.69            57.60
## 200              154.36     1258                    992.50            81.80
## 201              186.23      860                    283.04            67.35
## 202              270.65     1124                    717.71            69.84
## 203              157.76     1367                    310.00            41.97
## 204              128.94      200                   4662.82            45.94
## 205              131.65     1121                   1757.06            66.47
## 206              204.13      280                   1115.54            76.66
## 207              184.68     2300                    594.56            37.02
## 208              206.06      496                    514.23            93.36
## 209              243.79     2537                    242.17            30.25
## 210              172.27      612                    504.78            64.57
## 211              193.78     1046                    414.45            82.34
## 212              254.38     2105                    270.86            60.59
## 213              307.42     2588                    355.21            46.69
## 214              355.15     2704                   1270.00            45.88
## 215              286.14     2689                    505.76            61.05
## 216              291.35     2592                    183.04            37.47
## 217              258.68     2496                    500.76            27.32
## 218              146.73     1193                    877.71            79.95
## 219              163.37      413                   2569.56            63.04
## 220              170.77     1197                    593.04            68.85
## 221              187.62      473                    289.34            49.24
## 222              171.26     1212                    186.41            51.25
## 223              119.43     1166                    309.78            28.66
## 224              146.87     1987                    365.32            52.87
## 225              173.89     2217                    207.71            25.64
## 226               89.10      301                   1352.71            76.19
## 227              117.41     1011                    563.15            41.90
## 228              155.42     1912                    232.17            59.03
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## 257              246.26     2296                    321.73            59.42
## 258              198.95      508                    256.52            84.40
## 259              233.30      330                    356.84            95.58
## 260              265.86      264                    390.65            48.10
## 261               94.32      316                   1946.63            37.46
## 262               91.50      296                   1426.95            41.33
## 263              190.85      802                   2621.63            60.96
## 264              100.47      240                    378.91            53.32
## 265              154.27      895                   2353.15            54.05
## 266              147.08      306                    203.58            66.63
## 267               92.55      235                   2262.71            39.95
## 268              192.71     1237                    223.36            78.05
## 269              135.72     1182                   2240.65            24.41
## 270              132.67     1120                   1339.13            46.15
## 271              188.73      590                    219.13            66.91
## 272              192.69      594                    206.63            61.38
## 273              149.81      783                    942.17            38.83
## 274              175.06      945                   1660.10            41.51
## 275               83.81      177                    541.73            40.38
## 276              140.35      677                    198.15            66.81
## 277              161.49      865                    278.58            42.52
## 278               77.80      405                   1912.93            51.06
## 279              132.86     1521                   3149.13            23.04
## 280              135.63      552                    251.84            56.58
## 281              124.86      773                    300.00            93.87
## 282              167.07     1750                   4120.00            39.15
## 283               79.86      286                    703.58            68.05
## 284              151.27      843                    533.91            55.78
## 285              190.76      491                    315.21            52.89
## 286              178.44     1197                   1273.58            41.16
## 287              161.71      349                   2536.19            55.64
## 288               88.02      409                   1046.63            70.91
## 289              163.41      837                    777.17            36.79
## 290              175.42      740                   7442.06            34.00
## 291              140.64      717                    243.26            34.13
## 292              173.78     1844                    544.13            54.51
## 293              158.10      693                    211.95            69.53
## 294               84.05      423                    905.43            58.29
## 295              208.23     1706                    189.34            24.28
## 296              127.46     1005                   3042.82            35.28
## 297              172.15      678                   2142.50            34.35
## 298              132.81     1444                   3018.80            25.36
## 299              171.88      412                    766.19            49.96
## 300              221.50     1751                    594.34            59.54
## 301              141.52      849                    770.97            35.64
## 302              119.66      647                    875.10            57.98
## 303              177.35     1680                    191.73            64.28
## 304              205.77      642                    274.45            60.03
## 305              192.97      528                    249.45            52.89
## 306              210.03     1790                    393.58            60.03
## 307               84.73      258                   1876.08            45.68
## 308              214.32     1258                    482.82            38.67
## 309              188.15     1041                    536.73            48.68
## 310              160.71     1728                   1441.41            37.08
## 311              187.80     1854                   2479.45            58.76
## 312              174.72     1838                    756.84            38.21
## 313              181.88     1731                    879.78            52.16
## 314              132.90     1050                    245.86            73.78
## 315              179.94     1733                   1415.43            46.69
## 316              186.83      607                    199.78            55.22
## 317              130.18     1012                   2118.69            25.01
## 318              175.61     1440                    356.84            70.51
## 319              144.02      585                    238.80            75.64
## 320              190.71      612                   2571.41            57.44
## 321              188.71     1144                    352.28            51.06
## 322              219.66      738                    525.76            52.84
## 323              287.35      812                    263.15            65.67
## 324              230.74     1069                    224.67            77.26
## 325              174.95      932                    228.04            87.08
## 326              173.51      879                    184.02            92.91
## 327              238.60      886                    193.58            54.40
## 328              211.49     1678                    205.00            82.13
## 329              321.40     1900                    251.08            75.67
## 330              251.16      596                    251.30            47.92
## 331              223.58      589                    885.00            77.70
## 332              181.38      756                    286.52            88.96
## 333              157.78      773                    347.28            92.42
## 334              194.70      411                    380.65            93.94
## 335              258.85     1021                    303.36            61.30
## 336              219.13     1201                    310.10            47.31
## 337              159.37     1062                    446.73            62.40
## 338              178.31     1025                    313.69            83.47
## 339              200.44      475                    190.00            64.47
## 340              217.88     1107                    431.41            75.78
## 341              149.38      694                    204.67            61.17
## 342              158.70     1825                    832.71            78.16
## 343              209.44     2053                    579.45            66.83
## 344              181.70     1080                    202.50            48.41
## 345              254.99      622                    298.15            61.24
## 346               84.31      448                    416.73            72.84
## 347              231.15      425                   1052.39            80.03
## 348              146.93      895                    514.13            61.96
## 349              167.72     1737                    473.26            45.59
## 350              200.39      540                    187.17            64.45
## 351               90.58      487                    510.32            46.62
## 352              184.75     2026                    224.67            24.67
## 353              274.75     2161                    249.34            42.63
## 354              215.13     2021                    192.71            22.95
## 355              155.57      932                    443.15            61.19
## 356              221.19      310                    213.15            95.00
## 357              142.89      603                    225.00            94.15
## 358              121.42      604                    285.32            54.89
## 359              180.26      833                    217.71            49.52
## 360              186.15      617                    234.67            48.95
## 361              152.57      927                    542.17            70.50
## 362              212.25     1155                    229.02            56.52
## 363              141.32      972                    263.91            42.00
## 364              151.41      930                    203.80            59.62
## 365              131.81      550                    196.84            53.94
## 366              181.13     1001                    276.73            72.23
## 367              140.39     1772                    733.69            55.20
## 368              166.38     1996                    459.89            33.06
## 369              239.85      627                    239.56            80.35
## 370              166.16      483                    876.19            35.19
## 371              110.12      802                    644.23            32.63
## 372              164.30      405                    365.43            59.51
## 373              149.65     1671                    571.08            46.85
## 374               82.44      410                    334.56            50.00
## 375              152.25     1964                    243.69            18.37
## 376              177.79     2121                    218.47            25.82
## 377              157.29     2017                    183.58            26.46
## 378              119.91      829                    482.71            51.40
## 379              106.78      354                    364.67            67.71
## 380               87.45      201                    306.08            66.54
## 381              196.27      861                    223.58            63.29
## 382              155.99      650                   1488.69            47.02
## 383              231.60      987                    722.50            51.97
## 384              109.72      562                    893.80            67.93
## 385              212.91     1119                    506.30            48.19
## 386              178.49      999                    188.36            50.60
## 387              122.55      461                    322.17            98.00
## 388              277.25     1471                    322.93            62.23
## 389               86.02      252                   4075.43            71.68
## 390              190.66      762                    431.19            63.95
## 391              181.34      919                    335.10            49.56
## 392              159.24      461                    768.80            94.30
## 393              162.86     1067                   1173.91            58.75
## 394               83.31      304                    612.93            71.64
## 395              204.22     1220                    494.13            97.95
## 396              240.12     1246                   1266.52            52.87
## 397              208.03      733                    229.56            65.29
## 398               77.76      293                    770.97            85.36
## 399              186.63      432                    299.23            56.95
## 400              223.28     1121                    530.21            81.44
## 401               78.14      319                    534.78            86.56
## 402              184.36      853                    342.39            46.69
## 403              235.76      853                    800.21            39.03
## 404              224.98      631                    421.52            69.64
## 405              107.28      448                   1199.89            65.80
## 406              248.32     1391                   3261.41            61.28
## 407              191.54     1213                    206.30            74.18
## 408              269.76     1468                    283.15            58.42
## 409               83.35      181                    375.32            72.98
## 410              206.80      585                    235.00            81.45
## 411              214.23     1200                    323.15            51.69
## 412              189.56      984                   1009.89            55.45
## 413              226.96     1302                   1006.30            56.41
## 414              193.73      879                   1091.95            51.27
## 415              223.85     1068                    384.78            44.88
## 416              238.67     1626                    376.73            45.23
## 417              207.45     1062                    522.06            62.60
## 418              227.12     1158                    235.76            81.60
## 419              224.54     1442                    328.58            66.78
## 420              152.58      551                    826.30            92.56
## 421              223.86      999                    422.71            39.67
## 422               84.77      248                   1695.32            77.29
## 423              250.47     1182                    615.00            59.91
## 424              283.90     1476                    805.86            55.35
## 425              288.99     1450                    532.06            74.60
## 426              215.22     1216                    580.54            69.98
## 427              254.29     1670                    734.67            50.06
## 428              194.21      929                    730.21            53.85
## 429              210.98      824                    198.58            81.44
## 430               80.26      237                    705.65            69.93
## 431              256.12     1192                   1594.13            71.77
## 432              201.21     1103                    211.08            75.54
## 433              173.97     1925                    200.54            29.53
## 434              163.70      554                    235.76            44.81
## 435              132.14      808                    228.36            43.21
## 436              122.52     1123                    862.60            34.52
## 437              137.78     1703                    809.67            47.25
## 438              209.57     1671                    217.50            33.88
## 439              151.25      889                   1213.69            51.88
## 440              140.31      977                    525.65            49.91
## 441              157.93      533                    658.80            52.03
## 442              141.29      629                   1350.54            37.57
## 443              180.55      862                   1857.71            56.99
## 444              270.89     1709                    271.84            53.21
## 445              176.27      895                    278.91            47.11
## 446              143.91      680                   1166.19            44.64
## 447              162.72     1062                    414.56            38.85
## 448              209.70     1626                   2326.19            47.79
## 449              187.48      957                    378.47            90.86
## 450              141.59      495                    259.02            58.70
## 451              161.33      472                    328.04            55.26
## 452              159.98      819                    344.23            76.94
## 453              189.68     1545                    909.89            31.57
## 454              245.67     1557                    583.26            44.57
## 455              165.91      602                   1495.86            33.01
## 456              239.88     1290                    247.17            62.97
## 457              178.10      992                    671.08            48.85
## 458              175.06     1436                    296.19            37.83
## 459              146.57      804                    258.15            52.84
## 460              178.05      910                    500.65            61.87
##     Average.MLA.Fare Market.Share.LPA Average.LPA.Fare City1ABQ City1ACY
## 1             111.03            70.19           111.03        0        0
## 2             123.09            17.23           118.94        0        0
## 3             223.98             2.77           167.12        0        0
## 4              68.86            96.97            68.86        0        0
## 5             161.36            15.34           145.42        0        0
## 6             137.97            17.09           127.69        0        0
## 7             148.59            59.94           148.59        0        0
## 8             205.06            16.59           174.00        0        0
## 9             127.69            76.84           127.69        0        0
## 10            132.91            26.40           124.78        0        0
## 11            226.79            11.91           200.93        1        0
## 12            180.49            14.37           161.39        1        0
## 13            174.62            33.87           163.22        1        0
## 14            117.20            71.91           117.20        1        0
## 15            181.34            39.95           149.41        1        0
## 16            152.03            50.48           152.03        1        0
## 17            113.82            93.92           113.82        1        0
## 18            130.44            89.46           130.44        1        0
## 19            182.27             2.37           109.14        1        0
## 20            233.26            19.50           222.08        1        0
## 21            164.27             7.19           144.51        1        0
## 22            151.81            72.29           151.81        1        0
## 23             70.99            77.65            70.99        1        0
## 24            167.46            20.77           155.82        1        0
## 25            136.70            13.05           119.03        1        0
## 26            164.81            25.07           159.64        1        0
## 27             73.50            86.29            73.50        1        0
## 28            213.13            46.59           213.13        1        0
## 29             71.51            82.04            71.51        0        0
## 30            119.76            37.55           118.05        0        0
## 31            212.59            10.36           193.01        0        0
## 32            138.42            26.56           118.54        0        0
## 33            163.05            16.29           128.51        0        0
## 34            123.55            46.01           110.49        0        0
## 35            234.85            30.02           229.85        0        0
## 36            161.88            26.08           111.32        0        0
## 37            236.93             1.14           113.83        0        0
## 38            183.47            58.01           183.47        0        0
## 39            202.58             1.68           124.71        0        0
## 40            152.80            33.45           143.65        0        0
## 41            117.78            36.51           101.60        0        0
## 42            200.28            13.18           176.86        0        0
## 43            135.25            47.64           132.35        0        0
## 44            116.95            92.69           116.95        0        0
## 45            135.95            28.59           122.01        0        0
## 46            133.36            22.34           125.97        0        0
## 47            105.10            22.34            67.42        0        0
## 48             88.61            58.26            88.61        0        0
## 49            223.92             3.93           111.97        0        0
## 50            139.61            14.38           118.58        0        0
## 51            221.13             4.25            85.82        0        0
## 52             97.25            20.00            84.17        0        0
## 53            111.68            15.21            94.72        0        0
## 54            249.17            18.28           175.02        0        0
## 55            285.55             1.93           156.00        0        0
## 56            246.77             1.38           135.33        0        0
## 57            108.06            18.69            89.41        0        0
## 58            136.86            29.54           118.17        0        0
## 59            106.11            16.12            88.14        0        0
## 60            140.55            11.83           125.63        0        0
## 61            211.42             7.79           194.47        0        0
## 62            118.78            21.87           107.82        0        0
## 63             95.58            83.60            95.58        0        0
## 64            159.12            16.55           124.12        0        0
## 65            132.18             7.99           107.50        0        0
## 66            236.56            28.22           190.35        0        0
## 67            202.85            10.32           198.04        0        0
## 68            215.05             7.15           135.42        0        0
## 69            218.76            11.29           191.57        0        0
## 70            147.26            37.88           122.39        0        0
## 71             95.28            32.82            82.54        0        0
## 72            138.50            13.78           114.65        0        0
## 73            255.09            35.45           225.74        0        0
## 74            107.84            24.00            95.83        0        0
## 75            256.53             2.62           148.69        0        0
## 76            205.62             9.03           164.20        0        0
## 77            104.32            22.19            76.06        0        0
## 78            197.86             4.31           141.93        0        0
## 79            119.71            44.70           108.15        0        0
## 80            242.22            13.34           213.91        0        0
## 81            195.33            45.27           192.04        0        0
## 82            267.69             9.53           128.00        0        0
## 83            211.59             1.26           148.12        0        0
## 84            255.00             1.31           160.01        0        0
## 85            314.31            62.75           314.31        0        0
## 86            302.18            14.76           250.02        0        0
## 87            304.64            13.53           268.10        0        0
## 88             83.22             8.51            77.01        0        0
## 89            284.80            11.35           206.98        0        0
## 90             99.55            29.18            84.61        0        0
## 91            131.27            27.27           120.26        0        0
## 92            168.36            13.30           117.23        0        0
## 93            138.94             8.20           125.56        0        0
## 94            101.24            65.40           101.24        0        0
## 95            128.10            99.72           128.10        0        1
## 96            127.46            99.14           127.46        0        1
## 97            124.42             2.69           100.80        0        1
## 98            122.40            95.77           122.40        0        1
## 99            184.06            48.86           184.06        0        0
## 100           174.92            66.95           174.92        0        0
## 101            86.78            79.11            86.78        0        0
## 102           162.12            39.37           132.80        0        0
## 103           118.14             2.24           110.94        0        0
## 104            82.96            73.17            82.96        0        0
## 105           136.31            72.00           136.31        0        0
## 106           179.84            26.25           171.96        0        0
## 107            91.85             1.75            85.74        0        0
## 108           255.22            69.35           255.22        0        0
## 109           130.80             1.65           111.16        0        0
## 110           136.00            22.13           128.55        0        0
## 111           293.58            35.72           264.17        0        0
## 112           151.56            39.88           151.56        0        0
## 113           133.15            39.81           131.63        0        0
## 114           161.59            46.04           161.59        0        0
## 115           151.81            73.36           151.81        0        0
## 116           167.75            50.02           167.75        0        0
## 117           224.37            12.37           210.28        0        0
## 118           179.00            15.96           160.60        0        0
## 119           272.39            19.80           215.45        0        0
## 120           120.61            80.46           120.61        0        0
## 121            86.65            71.51            86.65        0        0
## 122            67.82            94.94            67.82        0        0
## 123           237.95             3.34           219.57        0        0
## 124           117.75            40.54           117.75        0        0
## 125            78.32            52.04            78.32        0        0
## 126            82.41            40.82            77.34        0        0
## 127           226.13             1.51           128.45        0        0
## 128           207.43            18.44           158.47        0        0
## 129           219.61            19.32           139.29        0        0
## 130           131.87            27.69           122.31        0        0
## 131           135.12            10.62           134.13        0        0
## 132            73.59            95.34            73.59        0        0
## 133           193.06            32.27           186.88        0        0
## 134           121.94             2.60           121.71        0        0
## 135           122.97            17.57           113.17        0        0
## 136           135.60            11.99           114.35        0        0
## 137           154.81            42.55           154.81        0        0
## 138            71.99            99.88            71.99        0        0
## 139           161.60            35.30           161.60        0        0
## 140            86.00             3.62            71.43        0        0
## 141            73.76            96.61            73.76        0        0
## 142           143.92            26.32           134.67        0        0
## 143           261.90             1.75           136.87        0        0
## 144           102.97             3.34           102.25        0        0
## 145           153.46            11.36           131.22        0        0
## 146            70.31            98.09            70.31        0        0
## 147           174.59            12.30           163.57        0        0
## 148           159.19            29.82           159.19        0        0
## 149           185.70            19.47           159.44        0        0
## 150           125.67            27.80           116.58        0        0
## 151           173.72            30.75           164.52        0        0
## 152           198.16            21.89           155.47        0        0
## 153            72.65            97.30            72.65        0        0
## 154            74.26            90.35            74.26        0        0
## 155            77.08            92.52            77.08        0        0
## 156           174.59            14.12           151.84        0        0
## 157           135.80            42.46           131.17        0        0
## 158           168.52            36.70           168.52        0        0
## 159           175.10            21.41           166.85        0        0
## 160           173.91            25.13           173.91        0        0
## 161           273.40             1.54           192.84        0        0
## 162           183.70            13.20           141.52        0        0
## 163           167.25            13.53           143.85        0        0
## 164           128.39            27.15           115.16        0        0
## 165           168.64            15.51           142.59        0        0
## 166           138.83            15.19           129.90        0        0
## 167           125.76            76.13           125.76        0        0
## 168           157.72            48.31           157.72        0        0
## 169           131.94            54.83           131.94        0        0
## 170           153.49            29.60           153.04        0        0
## 171            75.58            94.85            75.58        0        0
## 172           209.70            60.11           209.70        0        0
## 173           103.62            68.64           103.62        0        0
## 174           106.20            82.28           106.20        0        0
## 175           157.54            37.95           117.63        0        0
## 176            99.38            11.66            95.41        0        0
## 177           132.68            15.23           110.66        0        0
## 178           130.19            62.64           130.19        0        0
## 179            69.87            55.27            69.87        0        0
## 180            71.04            60.12            71.04        0        0
## 181            90.85            43.01            70.71        0        0
## 182            68.06            76.55            68.06        0        0
## 183           249.21             9.42           123.78        0        0
## 184           189.36            11.41           132.43        0        0
## 185           259.41             1.81           114.64        0        0
## 186           258.55             2.99           157.56        0        0
## 187           182.51            57.99           182.51        0        0
## 188           276.92            23.89           209.37        0        0
## 189           124.75            19.79            86.79        0        0
## 190           240.30            11.17           137.82        0        0
## 191           250.61             6.27           143.04        0        0
## 192           145.46            17.31           139.11        0        0
## 193           148.87             6.35           135.26        0        0
## 194           242.92            68.01           242.92        0        0
## 195           141.17            31.92           137.09        0        0
## 196           175.92            10.27           149.18        0        0
## 197           181.53            10.86           129.21        0        0
## 198           345.48            38.28           345.48        0        0
## 199           196.90            11.46           137.83        0        0
## 200           153.67             1.40           149.55        0        0
## 201           194.08             1.30           112.20        0        0
## 202           310.86             6.26           112.42        0        0
## 203           157.54            13.42           137.18        0        0
## 204           113.50            45.94           113.50        0        0
## 205           131.18            20.89           130.30        0        0
## 206           214.10            13.42           175.75        0        0
## 207           229.39            14.02           147.39        0        0
## 208           208.55             1.20           123.66        0        0
## 209           254.66            24.95           227.83        0        0
## 210           176.40            64.57           176.40        0        0
## 211           200.30             5.61           132.82        0        0
## 212           284.75            16.73           176.35        0        0
## 213           316.03            11.84           288.50        0        0
## 214           410.14            23.38           387.94        0        0
## 215           303.57            14.42           172.20        0        0
## 216           289.00            10.74           287.38        0        0
## 217           248.67            27.32           248.67        0        0
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## 417                         0                         0
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## 460                         0                         0
##  [ reached 'max' / getOption("max.print") -- omitted 540 rows ]
str(airdata)
## 'data.frame':    1000 obs. of  217 variables:
##  $ Average.Flight.Fare           : num  114.5 122.5 214.4 69.4 158.1 ...
##  $ Distance                      : int  528 860 852 288 723 1204 2237 2467 1073 1130 ...
##  $ Average.Weekly.Passengers     : num  425 277 216 607 313 ...
##  $ Market.Share.MLA              : num  70.2 75.1 78.9 97 39.8 ...
##  $ Average.MLA.Fare              : num  111 123.1 224 68.9 161.4 ...
##  $ Market.Share.LPA              : num  70.19 17.23 2.77 96.97 15.34 ...
##  $ Average.LPA.Fare              : num  111 118.9 167.1 68.9 145.4 ...
##  $ City1ABQ                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ACY                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ALB                      : num  0 0 1 1 1 1 1 1 1 1 ...
##  $ City1AMA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ATL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1AUS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BDL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BHM                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BNA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BOI                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BOS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BTV                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BUF                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BUR                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1BWI                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CAE                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CAK                      : num  1 1 0 0 0 0 0 0 0 0 ...
##  $ City1CHS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CLE                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CLT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CMH                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1COS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CRP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1CVG                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1DAY                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1DEN                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1DFW                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1DSM                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1DTW                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ELP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1EUG                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1FLL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1FNT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1GPT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1GRR                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1GSO                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1GSP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1HRL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1IAD                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1IAH                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1IND                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ISP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1JAX                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1LAS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1LAX                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1LGA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1LGB                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1LIT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MCI                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MCO                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MDT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MEM                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MHT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MIA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MKE                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MSN                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MSP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MSY                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1MYR                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1OAK                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1OKC                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1OMA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ONT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ORD                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ORF                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PDX                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PHF                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PHL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PHX                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PIT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PSP                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1PVD                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1RDU                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1RNO                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1ROC                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1RSW                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SAN                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SAT                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SDF                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SEA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SFO                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SJC                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SLC                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SMF                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SNA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1STL                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1SYR                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1TLH                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1TPA                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City1TYS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ City2ATL                      : num  1 0 1 0 0 0 0 0 0 0 ...
##  $ City2AUS                      : num  0 0 0 0 0 0 0 0 0 0 ...
##   [list output truncated]
summary(airdata)
##  Average.Flight.Fare    Distance      Average.Weekly.Passengers
##  Min.   : 50.52      Min.   : 108.0   Min.   : 181.4           
##  1st Qu.:125.97      1st Qu.: 553.5   1st Qu.: 257.2           
##  Median :161.34      Median : 919.0   Median : 404.8           
##  Mean   :163.38      Mean   :1057.0   Mean   : 672.3           
##  3rd Qu.:197.39      3rd Qu.:1452.5   3rd Qu.: 769.9           
##  Max.   :401.23      Max.   :2724.0   Max.   :8950.8           
##  Market.Share.MLA Average.MLA.Fare Market.Share.LPA Average.LPA.Fare
##  Min.   : 17.68   Min.   : 50.52   Min.   :  1.06   Min.   : 49.61  
##  1st Qu.: 46.51   1st Qu.:124.08   1st Qu.: 13.20   1st Qu.:113.77  
##  Median : 59.24   Median :161.40   Median : 26.14   Median :137.82  
##  Mean   : 60.13   Mean   :166.65   Mean   : 34.55   Mean   :143.19  
##  3rd Qu.: 73.51   3rd Qu.:202.98   3rd Qu.: 52.97   3rd Qu.:168.53  
##  Max.   :100.00   Max.   :490.03   Max.   :100.00   Max.   :387.94  
##     City1ABQ        City1ACY        City1ALB        City1AMA    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.018   Mean   :0.004   Mean   :0.008   Mean   :0.002  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1ATL        City1AUS        City1BDL        City1BHM    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.064   Mean   :0.021   Mean   :0.014   Mean   :0.008  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1BNA        City1BOI        City1BOS        City1BTV    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.011   Mean   :0.008   Mean   :0.038   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1BUF        City1BUR       City1BWI        City1CAE        City1CAK    
##  Min.   :0.000   Min.   :0.00   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.00   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.009   Mean   :0.01   Mean   :0.047   Mean   :0.001   Mean   :0.002  
##  3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.00   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1CHS        City1CLE        City1CLT        City1CMH    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.022   Mean   :0.018   Mean   :0.018  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1COS        City1CRP        City1CVG        City1DAY    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.003   Mean   :0.002   Mean   :0.012   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1DEN        City1DFW        City1DSM        City1DTW    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.036   Mean   :0.052   Mean   :0.002   Mean   :0.033  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1ELP        City1EUG        City1FLL        City1FNT    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.006   Mean   :0.001   Mean   :0.029   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1GPT        City1GRR        City1GSO        City1GSP    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.004   Mean   :0.003   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1HRL        City1IAD        City1IAH        City1IND    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.001   Mean   :0.038   Mean   :0.012  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1ISP        City1JAX        City1LAS        City1LAX    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.005   Mean   :0.007   Mean   :0.037   Mean   :0.031  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1LGA        City1LGB        City1LIT        City1MCI    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.028   Mean   :0.004   Mean   :0.001   Mean   :0.023  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1MCO        City1MDT        City1MEM        City1MHT    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.017   Mean   :0.001   Mean   :0.006   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1MIA        City1MKE        City1MSN        City1MSP       City1MSY    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.00   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.00   Median :0.000  
##  Mean   :0.013   Mean   :0.007   Mean   :0.001   Mean   :0.02   Mean   :0.015  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.00   Max.   :1.000  
##     City1MYR        City1OAK        City1OKC        City1OMA    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.012   Mean   :0.002   Mean   :0.004  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1ONT        City1ORD        City1ORF        City1PDX    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.008   Mean   :0.063   Mean   :0.003   Mean   :0.011  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1PHF        City1PHL        City1PHX        City1PIT    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.011   Mean   :0.018   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1PSP        City1PVD        City1RDU        City1RNO    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.003   Mean   :0.005   Mean   :0.005   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1ROC        City1RSW        City1SAN        City1SAT    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.008   Mean   :0.006   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1SDF        City1SEA        City1SFO        City1SJC    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.004   Mean   :0.004   Mean   :0.004   Mean   :0.004  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1SLC        City1SMF        City1SNA        City1STL    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.007   Mean   :0.006   Mean   :0.001   Mean   :0.009  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City1SYR        City1TLH        City1TPA        City1TYS    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.001   Mean   :0.001   Mean   :0.002   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2ATL        City2AUS        City2BDL       City2BHM        City2BNA    
##  Min.   :0.000   Min.   :0.000   Min.   :0.00   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.00   Median :0.000   Median :0.000  
##  Mean   :0.003   Mean   :0.001   Mean   :0.01   Mean   :0.001   Mean   :0.016  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.00   Max.   :1.000   Max.   :1.000  
##     City2BOS        City2BUF        City2BWI        City2CLE    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.002   Mean   :0.002   Mean   :0.004   Mean   :0.004  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2CLT        City2CMH        City2CVG        City2DAY    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.003   Mean   :0.004   Mean   :0.003   Mean   :0.004  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2DEN        City2DFW        City2DSM        City2DTW    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.012   Mean   :0.016   Mean   :0.001   Mean   :0.007  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2ELP        City2FLL        City2FNT        City2GEG    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.003   Mean   :0.014   Mean   :0.001   Mean   :0.009  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2GPT        City2GSO        City2HPN        City2HRL        City2IAD   
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.00  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.00  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000   Median :0.00  
##  Mean   :0.001   Mean   :0.003   Mean   :0.001   Mean   :0.001   Mean   :0.04  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.00  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.00  
##     City2IAH       City2ICT        City2IND        City2ISP        City2JAN    
##  Min.   :0.00   Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.00   Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.02   Mean   :0.001   Mean   :0.009   Mean   :0.003   Mean   :0.002  
##  3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.00   Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2JAX        City2LAS        City2LAX        City2LBB    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.008   Mean   :0.026   Mean   :0.027   Mean   :0.003  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2LGA        City2LGB        City2LIT        City2MAF    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.042   Mean   :0.002   Mean   :0.003   Mean   :0.002  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2MCI        City2MCO        City2MDT        City2MEM    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.011   Mean   :0.043   Mean   :0.001   Mean   :0.007  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2MHT        City2MIA        City2MKE       City2MSP        City2MSY    
##  Min.   :0.000   Min.   :0.000   Min.   :0.00   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.00   Median :0.000   Median :0.000  
##  Mean   :0.005   Mean   :0.012   Mean   :0.01   Mean   :0.025   Mean   :0.019  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.00   Max.   :1.000   Max.   :1.000  
##     City2OAK        City2OKC       City2OMA        City2ONT       City2ORD    
##  Min.   :0.000   Min.   :0.00   Min.   :0.000   Min.   :0.00   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000  
##  Median :0.000   Median :0.00   Median :0.000   Median :0.00   Median :0.000  
##  Mean   :0.016   Mean   :0.01   Mean   :0.008   Mean   :0.01   Mean   :0.009  
##  3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.00   Max.   :1.000   Max.   :1.00   Max.   :1.000  
##     City2ORF        City2PBI        City2PDX        City2PHF    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.008   Mean   :0.014   Mean   :0.022   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2PHL        City2PHX        City2PIT        City2PNS    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.023   Mean   :0.036   Mean   :0.017   Mean   :0.001  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2PVD        City2PWM        City2RDU        City2RIC    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.012   Mean   :0.001   Mean   :0.023   Mean   :0.004  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2RNO        City2ROC        City2RSW        City2SAN    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.009   Mean   :0.005   Mean   :0.009   Mean   :0.036  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2SAT        City2SAV        City2SDF        City2SEA    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.018   Mean   :0.002   Mean   :0.006   Mean   :0.042  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2SFO        City2SJC        City2SLC       City2SMF        City2SNA    
##  Min.   :0.000   Min.   :0.000   Min.   :0.00   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.00   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.00   Median :0.000   Median :0.000  
##  Mean   :0.031   Mean   :0.022   Mean   :0.02   Mean   :0.017   Mean   :0.019  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.00   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.00   Max.   :1.000   Max.   :1.000  
##     City2SRQ        City2STL        City2SYR        City2TLH    
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.002   Mean   :0.031   Mean   :0.003   Mean   :0.002  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000  
##     City2TPA        City2TUL        City2TUS     Market.Leading.Airline..MLA.AA
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000                 
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000                 
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000                 
##  Mean   :0.046   Mean   :0.006   Mean   :0.012   Mean   :0.135                 
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000                 
##  Max.   :1.000   Max.   :1.000   Max.   :1.000   Max.   :1.000                 
##  Market.Leading.Airline..MLA.AS Market.Leading.Airline..MLA.B6
##  Min.   :0.000                  Min.   :0.000                 
##  1st Qu.:0.000                  1st Qu.:0.000                 
##  Median :0.000                  Median :0.000                 
##  Mean   :0.032                  Mean   :0.014                 
##  3rd Qu.:0.000                  3rd Qu.:0.000                 
##  Max.   :1.000                  Max.   :1.000                 
##  Market.Leading.Airline..MLA.CO Market.Leading.Airline..MLA.DL
##  Min.   :0.000                  Min.   :0.000                 
##  1st Qu.:0.000                  1st Qu.:0.000                 
##  Median :0.000                  Median :0.000                 
##  Mean   :0.069                  Mean   :0.162                 
##  3rd Qu.:0.000                  3rd Qu.:0.000                 
##  Max.   :1.000                  Max.   :1.000                 
##  Market.Leading.Airline..MLA.F9 Market.Leading.Airline..MLA.FL
##  Min.   :0.000                  Min.   :0.000                 
##  1st Qu.:0.000                  1st Qu.:0.000                 
##  Median :0.000                  Median :0.000                 
##  Mean   :0.003                  Mean   :0.016                 
##  3rd Qu.:0.000                  3rd Qu.:0.000                 
##  Max.   :1.000                  Max.   :1.000                 
##  Market.Leading.Airline..MLA.G4 Market.Leading.Airline..MLA.HP
##  Min.   :0.000                  Min.   :0.00                  
##  1st Qu.:0.000                  1st Qu.:0.00                  
##  Median :0.000                  Median :0.00                  
##  Mean   :0.001                  Mean   :0.03                  
##  3rd Qu.:0.000                  3rd Qu.:0.00                  
##  Max.   :1.000                  Max.   :1.00                  
##  Market.Leading.Airline..MLA.NK Market.Leading.Airline..MLA.NW
##  Min.   :0.00                   Min.   :0.000                 
##  1st Qu.:0.00                   1st Qu.:0.000                 
##  Median :0.00                   Median :0.000                 
##  Mean   :0.01                   Mean   :0.086                 
##  3rd Qu.:0.00                   3rd Qu.:0.000                 
##  Max.   :1.00                   Max.   :1.000                 
##  Market.Leading.Airline..MLA.TZ Market.Leading.Airline..MLA.UA
##  Min.   :0.00                   Min.   :0.000                 
##  1st Qu.:0.00                   1st Qu.:0.000                 
##  Median :0.00                   Median :0.000                 
##  Mean   :0.01                   Mean   :0.091                 
##  3rd Qu.:0.00                   3rd Qu.:0.000                 
##  Max.   :1.00                   Max.   :1.000                 
##  Market.Leading.Airline..MLA.US Market.Leading.Airline..MLA.WN
##  Min.   :0.000                  Min.   :0.000                 
##  1st Qu.:0.000                  1st Qu.:0.000                 
##  Median :0.000                  Median :0.000                 
##  Mean   :0.068                  Mean   :0.257                 
##  3rd Qu.:0.000                  3rd Qu.:1.000                 
##  Max.   :1.000                  Max.   :1.000                 
##  Market.Leading.Airline..MLA.YX Low.Price.Airline..LPA.AA
##  Min.   :0.000                  Min.   :0.000            
##  1st Qu.:0.000                  1st Qu.:0.000            
##  Median :0.000                  Median :0.000            
##  Mean   :0.016                  Mean   :0.129            
##  3rd Qu.:0.000                  3rd Qu.:0.000            
##  Max.   :1.000                  Max.   :1.000            
##  Low.Price.Airline..LPA.AQ Low.Price.Airline..LPA.AS Low.Price.Airline..LPA.AX
##  Min.   :0.000             Min.   :0.000             Min.   :0.000            
##  1st Qu.:0.000             1st Qu.:0.000             1st Qu.:0.000            
##  Median :0.000             Median :0.000             Median :0.000            
##  Mean   :0.002             Mean   :0.027             Mean   :0.003            
##  3rd Qu.:0.000             3rd Qu.:0.000             3rd Qu.:0.000            
##  Max.   :1.000             Max.   :1.000             Max.   :1.000            
##  Low.Price.Airline..LPA.B6 Low.Price.Airline..LPA.CO Low.Price.Airline..LPA.DL
##  Min.   :0.000             Min.   :0.000             Min.   :0.000            
##  1st Qu.:0.000             1st Qu.:0.000             1st Qu.:0.000            
##  Median :0.000             Median :0.000             Median :0.000            
##  Mean   :0.015             Mean   :0.045             Mean   :0.151            
##  3rd Qu.:0.000             3rd Qu.:0.000             3rd Qu.:0.000            
##  Max.   :1.000             Max.   :1.000             Max.   :1.000            
##  Low.Price.Airline..LPA.F9 Low.Price.Airline..LPA.FL Low.Price.Airline..LPA.G4
##  Min.   :0.00              Min.   :0.00              Min.   :0.000            
##  1st Qu.:0.00              1st Qu.:0.00              1st Qu.:0.000            
##  Median :0.00              Median :0.00              Median :0.000            
##  Mean   :0.03              Mean   :0.06              Mean   :0.001            
##  3rd Qu.:0.00              3rd Qu.:0.00              3rd Qu.:0.000            
##  Max.   :1.00              Max.   :1.00              Max.   :1.000            
##  Low.Price.Airline..LPA.HP Low.Price.Airline..LPA.NK Low.Price.Airline..LPA.NW
##  Min.   :0.000             Min.   :0.000             Min.   :0.000            
##  1st Qu.:0.000             1st Qu.:0.000             1st Qu.:0.000            
##  Median :0.000             Median :0.000             Median :0.000            
##  Mean   :0.058             Mean   :0.016             Mean   :0.033            
##  3rd Qu.:0.000             3rd Qu.:0.000             3rd Qu.:0.000            
##  Max.   :1.000             Max.   :1.000             Max.   :1.000            
##  Low.Price.Airline..LPA.SY Low.Price.Airline..LPA.TZ Low.Price.Airline..LPA.UA
##  Min.   :0.000             Min.   :0.000             Min.   :0.000            
##  1st Qu.:0.000             1st Qu.:0.000             1st Qu.:0.000            
##  Median :0.000             Median :0.000             Median :0.000            
##  Mean   :0.007             Mean   :0.034             Mean   :0.055            
##  3rd Qu.:0.000             3rd Qu.:0.000             3rd Qu.:0.000            
##  Max.   :1.000             Max.   :1.000             Max.   :1.000            
##  Low.Price.Airline..LPA.US Low.Price.Airline..LPA.WN Low.Price.Airline..LPA.YX
##  Min.   :0.000             Min.   :0.00              Min.   :0.000            
##  1st Qu.:0.000             1st Qu.:0.00              1st Qu.:0.000            
##  Median :0.000             Median :0.00              Median :0.000            
##  Mean   :0.101             Mean   :0.23              Mean   :0.003            
##  3rd Qu.:0.000             3rd Qu.:0.00              3rd Qu.:0.000            
##  Max.   :1.000             Max.   :1.00              Max.   :1.000
head(airdata)
##   Average.Flight.Fare Distance Average.Weekly.Passengers Market.Share.MLA
## 1              114.47      528                    424.56            70.19
## 2              122.47      860                    276.84            75.10
## 3              214.42      852                    215.76            78.89
## 4               69.40      288                    606.84            96.97
## 5              158.13      723                    313.04            39.79
## 6              135.17     1204                    199.02            40.68
##   Average.MLA.Fare Market.Share.LPA Average.LPA.Fare City1ABQ City1ACY City1ALB
## 1           111.03            70.19           111.03        0        0        0
## 2           123.09            17.23           118.94        0        0        0
## 3           223.98             2.77           167.12        0        0        1
## 4            68.86            96.97            68.86        0        0        1
## 5           161.36            15.34           145.42        0        0        1
## 6           137.97            17.09           127.69        0        0        1
##   City1AMA City1ATL City1AUS City1BDL City1BHM City1BNA City1BOI City1BOS
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1BTV City1BUF City1BUR City1BWI City1CAE City1CAK City1CHS City1CLE
## 1        0        0        0        0        0        1        0        0
## 2        0        0        0        0        0        1        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1CLT City1CMH City1COS City1CRP City1CVG City1DAY City1DEN City1DFW
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1DSM City1DTW City1ELP City1EUG City1FLL City1FNT City1GPT City1GRR
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1GSO City1GSP City1HRL City1IAD City1IAH City1IND City1ISP City1JAX
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1LAS City1LAX City1LGA City1LGB City1LIT City1MCI City1MCO City1MDT
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1MEM City1MHT City1MIA City1MKE City1MSN City1MSP City1MSY City1MYR
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1OAK City1OKC City1OMA City1ONT City1ORD City1ORF City1PDX City1PHF
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1PHL City1PHX City1PIT City1PSP City1PVD City1RDU City1RNO City1ROC
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1RSW City1SAN City1SAT City1SDF City1SEA City1SFO City1SJC City1SLC
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City1SMF City1SNA City1STL City1SYR City1TLH City1TPA City1TYS City2ATL
## 1        0        0        0        0        0        0        0        1
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        1
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2AUS City2BDL City2BHM City2BNA City2BOS City2BUF City2BWI City2CLE
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        1        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2CLT City2CMH City2CVG City2DAY City2DEN City2DFW City2DSM City2DTW
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2ELP City2FLL City2FNT City2GEG City2GPT City2GSO City2HPN City2HRL
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        1        0        0        0        0        0        0
##   City2IAD City2IAH City2ICT City2IND City2ISP City2JAN City2JAX City2LAS
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2LAX City2LBB City2LGA City2LGB City2LIT City2MAF City2MCI City2MCO
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        1
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2MDT City2MEM City2MHT City2MIA City2MKE City2MSP City2MSY City2OAK
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2OKC City2OMA City2ONT City2ORD City2ORF City2PBI City2PDX City2PHF
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        1        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2PHL City2PHX City2PIT City2PNS City2PVD City2PWM City2RDU City2RIC
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2RNO City2ROC City2RSW City2SAN City2SAT City2SAV City2SDF City2SEA
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2SFO City2SJC City2SLC City2SMF City2SNA City2SRQ City2STL City2SYR
## 1        0        0        0        0        0        0        0        0
## 2        0        0        0        0        0        0        0        0
## 3        0        0        0        0        0        0        0        0
## 4        0        0        0        0        0        0        0        0
## 5        0        0        0        0        0        0        0        0
## 6        0        0        0        0        0        0        0        0
##   City2TLH City2TPA City2TUL City2TUS Market.Leading.Airline..MLA.AA
## 1        0        0        0        0                              0
## 2        0        0        0        0                              0
## 3        0        0        0        0                              0
## 4        0        0        0        0                              0
## 5        0        0        0        0                              0
## 6        0        0        0        0                              0
##   Market.Leading.Airline..MLA.AS Market.Leading.Airline..MLA.B6
## 1                              0                              0
## 2                              0                              0
## 3                              0                              0
## 4                              0                              0
## 5                              0                              0
## 6                              0                              0
##   Market.Leading.Airline..MLA.CO Market.Leading.Airline..MLA.DL
## 1                              0                              0
## 2                              0                              0
## 3                              0                              1
## 4                              0                              0
## 5                              0                              0
## 6                              0                              0
##   Market.Leading.Airline..MLA.F9 Market.Leading.Airline..MLA.FL
## 1                              0                              1
## 2                              0                              1
## 3                              0                              0
## 4                              0                              0
## 5                              0                              0
## 6                              0                              0
##   Market.Leading.Airline..MLA.G4 Market.Leading.Airline..MLA.HP
## 1                              0                              0
## 2                              0                              0
## 3                              0                              0
## 4                              0                              0
## 5                              0                              0
## 6                              0                              0
##   Market.Leading.Airline..MLA.NK Market.Leading.Airline..MLA.NW
## 1                              0                              0
## 2                              0                              0
## 3                              0                              0
## 4                              0                              0
## 5                              0                              0
## 6                              0                              0
##   Market.Leading.Airline..MLA.TZ Market.Leading.Airline..MLA.UA
## 1                              0                              0
## 2                              0                              0
## 3                              0                              0
## 4                              0                              0
## 5                              0                              1
## 6                              0                              0
##   Market.Leading.Airline..MLA.US Market.Leading.Airline..MLA.WN
## 1                              0                              0
## 2                              0                              0
## 3                              0                              0
## 4                              0                              1
## 5                              0                              0
## 6                              0                              1
##   Market.Leading.Airline..MLA.YX Low.Price.Airline..LPA.AA
## 1                              0                         0
## 2                              0                         0
## 3                              0                         0
## 4                              0                         0
## 5                              0                         0
## 6                              0                         0
##   Low.Price.Airline..LPA.AQ Low.Price.Airline..LPA.AS Low.Price.Airline..LPA.AX
## 1                         0                         0                         0
## 2                         0                         0                         0
## 3                         0                         0                         0
## 4                         0                         0                         0
## 5                         0                         0                         0
## 6                         0                         0                         0
##   Low.Price.Airline..LPA.B6 Low.Price.Airline..LPA.CO Low.Price.Airline..LPA.DL
## 1                         0                         0                         0
## 2                         0                         0                         1
## 3                         0                         1                         0
## 4                         0                         0                         0
## 5                         0                         0                         0
## 6                         0                         0                         1
##   Low.Price.Airline..LPA.F9 Low.Price.Airline..LPA.FL Low.Price.Airline..LPA.G4
## 1                         0                         1                         0
## 2                         0                         0                         0
## 3                         0                         0                         0
## 4                         0                         0                         0
## 5                         0                         0                         0
## 6                         0                         0                         0
##   Low.Price.Airline..LPA.HP Low.Price.Airline..LPA.NK Low.Price.Airline..LPA.NW
## 1                         0                         0                         0
## 2                         0                         0                         0
## 3                         0                         0                         0
## 4                         0                         0                         0
## 5                         0                         0                         0
## 6                         0                         0                         0
##   Low.Price.Airline..LPA.SY Low.Price.Airline..LPA.TZ Low.Price.Airline..LPA.UA
## 1                         0                         0                         0
## 2                         0                         0                         0
## 3                         0                         0                         0
## 4                         0                         0                         0
## 5                         0                         0                         0
## 6                         0                         0                         0
##   Low.Price.Airline..LPA.US Low.Price.Airline..LPA.WN Low.Price.Airline..LPA.YX
## 1                         0                         0                         0
## 2                         0                         0                         0
## 3                         0                         0                         0
## 4                         0                         1                         0
## 5                         0                         1                         0
## 6                         0                         0                         0
tail(airdata)
##      Average.Flight.Fare Distance Average.Weekly.Passengers Market.Share.MLA
## 995               288.14     2329                    787.50            46.51
## 996               136.16     1104                    184.34            33.37
## 997                83.28      200                    232.71            99.57
## 998               159.97      814                    843.80            46.19
## 999                73.57      174                    214.45            99.74
## 1000              126.67      859                    475.65            56.28
##      Average.MLA.Fare Market.Share.LPA Average.LPA.Fare City1ABQ City1ACY
## 995            329.20            30.43           252.34        0        0
## 996            135.82            28.65           118.51        0        0
## 997             82.55            99.57            82.55        0        0
## 998            159.65            13.89           159.02        0        0
## 999             73.44            99.74            73.44        0        0
## 1000           129.92            38.57           121.94        0        0
##      City1ALB City1AMA City1ATL City1AUS City1BDL City1BHM City1BNA City1BOI
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1BOS City1BTV City1BUF City1BUR City1BWI City1CAE City1CAK City1CHS
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1CLE City1CLT City1CMH City1COS City1CRP City1CVG City1DAY City1DEN
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1DFW City1DSM City1DTW City1ELP City1EUG City1FLL City1FNT City1GPT
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1GRR City1GSO City1GSP City1HRL City1IAD City1IAH City1IND City1ISP
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        1        0        0        0
##      City1JAX City1LAS City1LAX City1LGA City1LGB City1LIT City1MCI City1MCO
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1MDT City1MEM City1MHT City1MIA City1MKE City1MSN City1MSP City1MSY
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1MYR City1OAK City1OKC City1OMA City1ONT City1ORD City1ORF City1PDX
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1PHF City1PHL City1PHX City1PIT City1PSP City1PVD City1RDU City1RNO
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1ROC City1RSW City1SAN City1SAT City1SDF City1SEA City1SFO City1SJC
## 995         0        0        0        0        0        1        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City1SLC City1SMF City1SNA City1STL City1SYR City1TLH City1TPA City1TYS
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        1        0        0        0
## 997         0        0        0        0        0        1        0        0
## 998         0        0        0        0        0        0        1        0
## 999         0        0        0        0        0        0        1        0
## 1000        0        0        0        0        0        0        0        0
##      City2ATL City2AUS City2BDL City2BHM City2BNA City2BOS City2BUF City2BWI
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2CLE City2CLT City2CMH City2CVG City2DAY City2DEN City2DFW City2DSM
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2DTW City2ELP City2FLL City2FNT City2GEG City2GPT City2GSO City2HPN
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2HRL City2IAD City2IAH City2ICT City2IND City2ISP City2JAN City2JAX
## 995         0        1        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        1        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2LAS City2LAX City2LBB City2LGA City2LGB City2LIT City2MAF City2MCI
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2MCO City2MDT City2MEM City2MHT City2MIA City2MKE City2MSP City2MSY
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2OAK City2OKC City2OMA City2ONT City2ORD City2ORF City2PBI City2PDX
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        1        0
## 1000        0        0        0        0        0        0        1        0
##      City2PHF City2PHL City2PHX City2PIT City2PNS City2PVD City2PWM City2RDU
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2RIC City2RNO City2ROC City2RSW City2SAN City2SAT City2SAV City2SDF
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2SEA City2SFO City2SJC City2SLC City2SMF City2SNA City2SRQ City2STL
## 995         0        0        0        0        0        0        0        0
## 996         0        0        0        0        0        0        0        0
## 997         0        0        0        0        0        0        0        0
## 998         0        0        0        0        0        0        0        0
## 999         0        0        0        0        0        0        0        0
## 1000        0        0        0        0        0        0        0        0
##      City2SYR City2TLH City2TPA City2TUL City2TUS
## 995         0        0        0        0        0
## 996         0        0        1        0        0
## 997         0        0        1        0        0
## 998         0        0        0        0        0
## 999         0        0        0        0        0
## 1000        0        0        0        0        0
##      Market.Leading.Airline..MLA.AA Market.Leading.Airline..MLA.AS
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.B6 Market.Leading.Airline..MLA.CO
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.DL Market.Leading.Airline..MLA.F9
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.FL Market.Leading.Airline..MLA.G4
## 995                               0                              0
## 996                               0                              0
## 997                               1                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.HP Market.Leading.Airline..MLA.NK
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.NW Market.Leading.Airline..MLA.TZ
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               0                              0
## 1000                              0                              0
##      Market.Leading.Airline..MLA.UA Market.Leading.Airline..MLA.US
## 995                               1                              0
## 996                               0                              1
## 997                               0                              0
## 998                               0                              1
## 999                               0                              0
## 1000                              0                              1
##      Market.Leading.Airline..MLA.WN Market.Leading.Airline..MLA.YX
## 995                               0                              0
## 996                               0                              0
## 997                               0                              0
## 998                               0                              0
## 999                               1                              0
## 1000                              0                              0
##      Low.Price.Airline..LPA.AA Low.Price.Airline..LPA.AQ
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.AS Low.Price.Airline..LPA.AX
## 995                          1                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.B6 Low.Price.Airline..LPA.CO
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.DL Low.Price.Airline..LPA.F9
## 995                          0                         0
## 996                          1                         0
## 997                          0                         0
## 998                          1                         0
## 999                          0                         0
## 1000                         1                         0
##      Low.Price.Airline..LPA.FL Low.Price.Airline..LPA.G4
## 995                          0                         0
## 996                          0                         0
## 997                          1                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.HP Low.Price.Airline..LPA.NK
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.NW Low.Price.Airline..LPA.SY
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.TZ Low.Price.Airline..LPA.UA
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         0
## 1000                         0                         0
##      Low.Price.Airline..LPA.US Low.Price.Airline..LPA.WN
## 995                          0                         0
## 996                          0                         0
## 997                          0                         0
## 998                          0                         0
## 999                          0                         1
## 1000                         0                         0
##      Low.Price.Airline..LPA.YX
## 995                          0
## 996                          0
## 997                          0
## 998                          0
## 999                          0
## 1000                         0
#missing value analysis

library(DataExplorer)

is.na(airdata)
##      Average.Flight.Fare Distance Average.Weekly.Passengers Market.Share.MLA
## 1                  FALSE    FALSE                     FALSE            FALSE
## 2                  FALSE    FALSE                     FALSE            FALSE
## 3                  FALSE    FALSE                     FALSE            FALSE
## 4                  FALSE    FALSE                     FALSE            FALSE
## 5                  FALSE    FALSE                     FALSE            FALSE
## 6                  FALSE    FALSE                     FALSE            FALSE
## 7                  FALSE    FALSE                     FALSE            FALSE
## 8                  FALSE    FALSE                     FALSE            FALSE
## 9                  FALSE    FALSE                     FALSE            FALSE
## 10                 FALSE    FALSE                     FALSE            FALSE
## 11                 FALSE    FALSE                     FALSE            FALSE
## 12                 FALSE    FALSE                     FALSE            FALSE
## 13                 FALSE    FALSE                     FALSE            FALSE
## 14                 FALSE    FALSE                     FALSE            FALSE
## 15                 FALSE    FALSE                     FALSE            FALSE
## 16                 FALSE    FALSE                     FALSE            FALSE
## 17                 FALSE    FALSE                     FALSE            FALSE
## 18                 FALSE    FALSE                     FALSE            FALSE
## 19                 FALSE    FALSE                     FALSE            FALSE
## 20                 FALSE    FALSE                     FALSE            FALSE
## 21                 FALSE    FALSE                     FALSE            FALSE
## 22                 FALSE    FALSE                     FALSE            FALSE
## 23                 FALSE    FALSE                     FALSE            FALSE
## 24                 FALSE    FALSE                     FALSE            FALSE
## 25                 FALSE    FALSE                     FALSE            FALSE
## 26                 FALSE    FALSE                     FALSE            FALSE
## 27                 FALSE    FALSE                     FALSE            FALSE
## 28                 FALSE    FALSE                     FALSE            FALSE
## 29                 FALSE    FALSE                     FALSE            FALSE
## 30                 FALSE    FALSE                     FALSE            FALSE
## 31                 FALSE    FALSE                     FALSE            FALSE
## 32                 FALSE    FALSE                     FALSE            FALSE
## 33                 FALSE    FALSE                     FALSE            FALSE
## 34                 FALSE    FALSE                     FALSE            FALSE
## 35                 FALSE    FALSE                     FALSE            FALSE
## 36                 FALSE    FALSE                     FALSE            FALSE
## 37                 FALSE    FALSE                     FALSE            FALSE
## 38                 FALSE    FALSE                     FALSE            FALSE
## 39                 FALSE    FALSE                     FALSE            FALSE
## 40                 FALSE    FALSE                     FALSE            FALSE
## 41                 FALSE    FALSE                     FALSE            FALSE
## 42                 FALSE    FALSE                     FALSE            FALSE
## 43                 FALSE    FALSE                     FALSE            FALSE
## 44                 FALSE    FALSE                     FALSE            FALSE
## 45                 FALSE    FALSE                     FALSE            FALSE
## 46                 FALSE    FALSE                     FALSE            FALSE
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## 48                 FALSE    FALSE                     FALSE            FALSE
## 49                 FALSE    FALSE                     FALSE            FALSE
## 50                 FALSE    FALSE                     FALSE            FALSE
## 51                 FALSE    FALSE                     FALSE            FALSE
## 52                 FALSE    FALSE                     FALSE            FALSE
## 53                 FALSE    FALSE                     FALSE            FALSE
## 54                 FALSE    FALSE                     FALSE            FALSE
## 55                 FALSE    FALSE                     FALSE            FALSE
## 56                 FALSE    FALSE                     FALSE            FALSE
## 57                 FALSE    FALSE                     FALSE            FALSE
## 58                 FALSE    FALSE                     FALSE            FALSE
## 59                 FALSE    FALSE                     FALSE            FALSE
## 60                 FALSE    FALSE                     FALSE            FALSE
## 61                 FALSE    FALSE                     FALSE            FALSE
## 62                 FALSE    FALSE                     FALSE            FALSE
## 63                 FALSE    FALSE                     FALSE            FALSE
## 64                 FALSE    FALSE                     FALSE            FALSE
## 65                 FALSE    FALSE                     FALSE            FALSE
## 66                 FALSE    FALSE                     FALSE            FALSE
## 67                 FALSE    FALSE                     FALSE            FALSE
## 68                 FALSE    FALSE                     FALSE            FALSE
## 69                 FALSE    FALSE                     FALSE            FALSE
## 70                 FALSE    FALSE                     FALSE            FALSE
## 71                 FALSE    FALSE                     FALSE            FALSE
## 72                 FALSE    FALSE                     FALSE            FALSE
## 73                 FALSE    FALSE                     FALSE            FALSE
## 74                 FALSE    FALSE                     FALSE            FALSE
## 75                 FALSE    FALSE                     FALSE            FALSE
## 76                 FALSE    FALSE                     FALSE            FALSE
## 77                 FALSE    FALSE                     FALSE            FALSE
## 78                 FALSE    FALSE                     FALSE            FALSE
## 79                 FALSE    FALSE                     FALSE            FALSE
## 80                 FALSE    FALSE                     FALSE            FALSE
## 81                 FALSE    FALSE                     FALSE            FALSE
## 82                 FALSE    FALSE                     FALSE            FALSE
## 83                 FALSE    FALSE                     FALSE            FALSE
## 84                 FALSE    FALSE                     FALSE            FALSE
## 85                 FALSE    FALSE                     FALSE            FALSE
## 86                 FALSE    FALSE                     FALSE            FALSE
## 87                 FALSE    FALSE                     FALSE            FALSE
## 88                 FALSE    FALSE                     FALSE            FALSE
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## 90                 FALSE    FALSE                     FALSE            FALSE
## 91                 FALSE    FALSE                     FALSE            FALSE
## 92                 FALSE    FALSE                     FALSE            FALSE
## 93                 FALSE    FALSE                     FALSE            FALSE
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## 95                 FALSE    FALSE                     FALSE            FALSE
## 96                 FALSE    FALSE                     FALSE            FALSE
## 97                 FALSE    FALSE                     FALSE            FALSE
## 98                 FALSE    FALSE                     FALSE            FALSE
## 99                 FALSE    FALSE                     FALSE            FALSE
## 100                FALSE    FALSE                     FALSE            FALSE
## 101                FALSE    FALSE                     FALSE            FALSE
## 102                FALSE    FALSE                     FALSE            FALSE
## 103                FALSE    FALSE                     FALSE            FALSE
## 104                FALSE    FALSE                     FALSE            FALSE
## 105                FALSE    FALSE                     FALSE            FALSE
## 106                FALSE    FALSE                     FALSE            FALSE
## 107                FALSE    FALSE                     FALSE            FALSE
## 108                FALSE    FALSE                     FALSE            FALSE
## 109                FALSE    FALSE                     FALSE            FALSE
## 110                FALSE    FALSE                     FALSE            FALSE
## 111                FALSE    FALSE                     FALSE            FALSE
## 112                FALSE    FALSE                     FALSE            FALSE
## 113                FALSE    FALSE                     FALSE            FALSE
## 114                FALSE    FALSE                     FALSE            FALSE
## 115                FALSE    FALSE                     FALSE            FALSE
## 116                FALSE    FALSE                     FALSE            FALSE
## 117                FALSE    FALSE                     FALSE            FALSE
## 118                FALSE    FALSE                     FALSE            FALSE
## 119                FALSE    FALSE                     FALSE            FALSE
## 120                FALSE    FALSE                     FALSE            FALSE
## 121                FALSE    FALSE                     FALSE            FALSE
## 122                FALSE    FALSE                     FALSE            FALSE
## 123                FALSE    FALSE                     FALSE            FALSE
## 124                FALSE    FALSE                     FALSE            FALSE
## 125                FALSE    FALSE                     FALSE            FALSE
## 126                FALSE    FALSE                     FALSE            FALSE
## 127                FALSE    FALSE                     FALSE            FALSE
## 128                FALSE    FALSE                     FALSE            FALSE
## 129                FALSE    FALSE                     FALSE            FALSE
## 130                FALSE    FALSE                     FALSE            FALSE
## 131                FALSE    FALSE                     FALSE            FALSE
## 132                FALSE    FALSE                     FALSE            FALSE
## 133                FALSE    FALSE                     FALSE            FALSE
## 134                FALSE    FALSE                     FALSE            FALSE
## 135                FALSE    FALSE                     FALSE            FALSE
## 136                FALSE    FALSE                     FALSE            FALSE
## 137                FALSE    FALSE                     FALSE            FALSE
## 138                FALSE    FALSE                     FALSE            FALSE
## 139                FALSE    FALSE                     FALSE            FALSE
## 140                FALSE    FALSE                     FALSE            FALSE
## 141                FALSE    FALSE                     FALSE            FALSE
## 142                FALSE    FALSE                     FALSE            FALSE
## 143                FALSE    FALSE                     FALSE            FALSE
## 144                FALSE    FALSE                     FALSE            FALSE
## 145                FALSE    FALSE                     FALSE            FALSE
## 146                FALSE    FALSE                     FALSE            FALSE
## 147                FALSE    FALSE                     FALSE            FALSE
## 148                FALSE    FALSE                     FALSE            FALSE
## 149                FALSE    FALSE                     FALSE            FALSE
## 150                FALSE    FALSE                     FALSE            FALSE
## 151                FALSE    FALSE                     FALSE            FALSE
## 152                FALSE    FALSE                     FALSE            FALSE
## 153                FALSE    FALSE                     FALSE            FALSE
## 154                FALSE    FALSE                     FALSE            FALSE
## 155                FALSE    FALSE                     FALSE            FALSE
## 156                FALSE    FALSE                     FALSE            FALSE
## 157                FALSE    FALSE                     FALSE            FALSE
## 158                FALSE    FALSE                     FALSE            FALSE
## 159                FALSE    FALSE                     FALSE            FALSE
## 160                FALSE    FALSE                     FALSE            FALSE
## 161                FALSE    FALSE                     FALSE            FALSE
## 162                FALSE    FALSE                     FALSE            FALSE
## 163                FALSE    FALSE                     FALSE            FALSE
## 164                FALSE    FALSE                     FALSE            FALSE
## 165                FALSE    FALSE                     FALSE            FALSE
## 166                FALSE    FALSE                     FALSE            FALSE
## 167                FALSE    FALSE                     FALSE            FALSE
## 168                FALSE    FALSE                     FALSE            FALSE
## 169                FALSE    FALSE                     FALSE            FALSE
## 170                FALSE    FALSE                     FALSE            FALSE
## 171                FALSE    FALSE                     FALSE            FALSE
## 172                FALSE    FALSE                     FALSE            FALSE
## 173                FALSE    FALSE                     FALSE            FALSE
## 174                FALSE    FALSE                     FALSE            FALSE
## 175                FALSE    FALSE                     FALSE            FALSE
## 176                FALSE    FALSE                     FALSE            FALSE
## 177                FALSE    FALSE                     FALSE            FALSE
## 178                FALSE    FALSE                     FALSE            FALSE
## 179                FALSE    FALSE                     FALSE            FALSE
## 180                FALSE    FALSE                     FALSE            FALSE
## 181                FALSE    FALSE                     FALSE            FALSE
## 182                FALSE    FALSE                     FALSE            FALSE
## 183                FALSE    FALSE                     FALSE            FALSE
## 184                FALSE    FALSE                     FALSE            FALSE
## 185                FALSE    FALSE                     FALSE            FALSE
## 186                FALSE    FALSE                     FALSE            FALSE
## 187                FALSE    FALSE                     FALSE            FALSE
## 188                FALSE    FALSE                     FALSE            FALSE
## 189                FALSE    FALSE                     FALSE            FALSE
## 190                FALSE    FALSE                     FALSE            FALSE
## 191                FALSE    FALSE                     FALSE            FALSE
## 192                FALSE    FALSE                     FALSE            FALSE
## 193                FALSE    FALSE                     FALSE            FALSE
## 194                FALSE    FALSE                     FALSE            FALSE
## 195                FALSE    FALSE                     FALSE            FALSE
## 196                FALSE    FALSE                     FALSE            FALSE
## 197                FALSE    FALSE                     FALSE            FALSE
## 198                FALSE    FALSE                     FALSE            FALSE
## 199                FALSE    FALSE                     FALSE            FALSE
## 200                FALSE    FALSE                     FALSE            FALSE
## 201                FALSE    FALSE                     FALSE            FALSE
## 202                FALSE    FALSE                     FALSE            FALSE
## 203                FALSE    FALSE                     FALSE            FALSE
## 204                FALSE    FALSE                     FALSE            FALSE
## 205                FALSE    FALSE                     FALSE            FALSE
## 206                FALSE    FALSE                     FALSE            FALSE
## 207                FALSE    FALSE                     FALSE            FALSE
## 208                FALSE    FALSE                     FALSE            FALSE
## 209                FALSE    FALSE                     FALSE            FALSE
## 210                FALSE    FALSE                     FALSE            FALSE
## 211                FALSE    FALSE                     FALSE            FALSE
## 212                FALSE    FALSE                     FALSE            FALSE
## 213                FALSE    FALSE                     FALSE            FALSE
## 214                FALSE    FALSE                     FALSE            FALSE
## 215                FALSE    FALSE                     FALSE            FALSE
## 216                FALSE    FALSE                     FALSE            FALSE
## 217                FALSE    FALSE                     FALSE            FALSE
## 218                FALSE    FALSE                     FALSE            FALSE
## 219                FALSE    FALSE                     FALSE            FALSE
## 220                FALSE    FALSE                     FALSE            FALSE
## 221                FALSE    FALSE                     FALSE            FALSE
## 222                FALSE    FALSE                     FALSE            FALSE
## 223                FALSE    FALSE                     FALSE            FALSE
## 224                FALSE    FALSE                     FALSE            FALSE
## 225                FALSE    FALSE                     FALSE            FALSE
## 226                FALSE    FALSE                     FALSE            FALSE
## 227                FALSE    FALSE                     FALSE            FALSE
## 228                FALSE    FALSE                     FALSE            FALSE
## 229                FALSE    FALSE                     FALSE            FALSE
## 230                FALSE    FALSE                     FALSE            FALSE
## 231                FALSE    FALSE                     FALSE            FALSE
## 232                FALSE    FALSE                     FALSE            FALSE
## 233                FALSE    FALSE                     FALSE            FALSE
## 234                FALSE    FALSE                     FALSE            FALSE
## 235                FALSE    FALSE                     FALSE            FALSE
## 236                FALSE    FALSE                     FALSE            FALSE
## 237                FALSE    FALSE                     FALSE            FALSE
## 238                FALSE    FALSE                     FALSE            FALSE
## 239                FALSE    FALSE                     FALSE            FALSE
## 240                FALSE    FALSE                     FALSE            FALSE
## 241                FALSE    FALSE                     FALSE            FALSE
## 242                FALSE    FALSE                     FALSE            FALSE
## 243                FALSE    FALSE                     FALSE            FALSE
## 244                FALSE    FALSE                     FALSE            FALSE
## 245                FALSE    FALSE                     FALSE            FALSE
## 246                FALSE    FALSE                     FALSE            FALSE
## 247                FALSE    FALSE                     FALSE            FALSE
## 248                FALSE    FALSE                     FALSE            FALSE
## 249                FALSE    FALSE                     FALSE            FALSE
## 250                FALSE    FALSE                     FALSE            FALSE
## 251                FALSE    FALSE                     FALSE            FALSE
## 252                FALSE    FALSE                     FALSE            FALSE
## 253                FALSE    FALSE                     FALSE            FALSE
## 254                FALSE    FALSE                     FALSE            FALSE
## 255                FALSE    FALSE                     FALSE            FALSE
## 256                FALSE    FALSE                     FALSE            FALSE
## 257                FALSE    FALSE                     FALSE            FALSE
## 258                FALSE    FALSE                     FALSE            FALSE
## 259                FALSE    FALSE                     FALSE            FALSE
## 260                FALSE    FALSE                     FALSE            FALSE
## 261                FALSE    FALSE                     FALSE            FALSE
## 262                FALSE    FALSE                     FALSE            FALSE
## 263                FALSE    FALSE                     FALSE            FALSE
## 264                FALSE    FALSE                     FALSE            FALSE
## 265                FALSE    FALSE                     FALSE            FALSE
## 266                FALSE    FALSE                     FALSE            FALSE
## 267                FALSE    FALSE                     FALSE            FALSE
## 268                FALSE    FALSE                     FALSE            FALSE
## 269                FALSE    FALSE                     FALSE            FALSE
## 270                FALSE    FALSE                     FALSE            FALSE
## 271                FALSE    FALSE                     FALSE            FALSE
## 272                FALSE    FALSE                     FALSE            FALSE
## 273                FALSE    FALSE                     FALSE            FALSE
## 274                FALSE    FALSE                     FALSE            FALSE
## 275                FALSE    FALSE                     FALSE            FALSE
## 276                FALSE    FALSE                     FALSE            FALSE
## 277                FALSE    FALSE                     FALSE            FALSE
## 278                FALSE    FALSE                     FALSE            FALSE
## 279                FALSE    FALSE                     FALSE            FALSE
## 280                FALSE    FALSE                     FALSE            FALSE
## 281                FALSE    FALSE                     FALSE            FALSE
## 282                FALSE    FALSE                     FALSE            FALSE
## 283                FALSE    FALSE                     FALSE            FALSE
## 284                FALSE    FALSE                     FALSE            FALSE
## 285                FALSE    FALSE                     FALSE            FALSE
## 286                FALSE    FALSE                     FALSE            FALSE
## 287                FALSE    FALSE                     FALSE            FALSE
## 288                FALSE    FALSE                     FALSE            FALSE
## 289                FALSE    FALSE                     FALSE            FALSE
## 290                FALSE    FALSE                     FALSE            FALSE
## 291                FALSE    FALSE                     FALSE            FALSE
## 292                FALSE    FALSE                     FALSE            FALSE
## 293                FALSE    FALSE                     FALSE            FALSE
## 294                FALSE    FALSE                     FALSE            FALSE
## 295                FALSE    FALSE                     FALSE            FALSE
## 296                FALSE    FALSE                     FALSE            FALSE
## 297                FALSE    FALSE                     FALSE            FALSE
## 298                FALSE    FALSE                     FALSE            FALSE
## 299                FALSE    FALSE                     FALSE            FALSE
## 300                FALSE    FALSE                     FALSE            FALSE
## 301                FALSE    FALSE                     FALSE            FALSE
## 302                FALSE    FALSE                     FALSE            FALSE
## 303                FALSE    FALSE                     FALSE            FALSE
## 304                FALSE    FALSE                     FALSE            FALSE
## 305                FALSE    FALSE                     FALSE            FALSE
## 306                FALSE    FALSE                     FALSE            FALSE
## 307                FALSE    FALSE                     FALSE            FALSE
## 308                FALSE    FALSE                     FALSE            FALSE
## 309                FALSE    FALSE                     FALSE            FALSE
## 310                FALSE    FALSE                     FALSE            FALSE
## 311                FALSE    FALSE                     FALSE            FALSE
## 312                FALSE    FALSE                     FALSE            FALSE
## 313                FALSE    FALSE                     FALSE            FALSE
## 314                FALSE    FALSE                     FALSE            FALSE
## 315                FALSE    FALSE                     FALSE            FALSE
## 316                FALSE    FALSE                     FALSE            FALSE
## 317                FALSE    FALSE                     FALSE            FALSE
## 318                FALSE    FALSE                     FALSE            FALSE
## 319                FALSE    FALSE                     FALSE            FALSE
## 320                FALSE    FALSE                     FALSE            FALSE
## 321                FALSE    FALSE                     FALSE            FALSE
## 322                FALSE    FALSE                     FALSE            FALSE
## 323                FALSE    FALSE                     FALSE            FALSE
## 324                FALSE    FALSE                     FALSE            FALSE
## 325                FALSE    FALSE                     FALSE            FALSE
## 326                FALSE    FALSE                     FALSE            FALSE
## 327                FALSE    FALSE                     FALSE            FALSE
## 328                FALSE    FALSE                     FALSE            FALSE
## 329                FALSE    FALSE                     FALSE            FALSE
## 330                FALSE    FALSE                     FALSE            FALSE
## 331                FALSE    FALSE                     FALSE            FALSE
## 332                FALSE    FALSE                     FALSE            FALSE
## 333                FALSE    FALSE                     FALSE            FALSE
## 334                FALSE    FALSE                     FALSE            FALSE
## 335                FALSE    FALSE                     FALSE            FALSE
## 336                FALSE    FALSE                     FALSE            FALSE
## 337                FALSE    FALSE                     FALSE            FALSE
## 338                FALSE    FALSE                     FALSE            FALSE
## 339                FALSE    FALSE                     FALSE            FALSE
## 340                FALSE    FALSE                     FALSE            FALSE
## 341                FALSE    FALSE                     FALSE            FALSE
## 342                FALSE    FALSE                     FALSE            FALSE
## 343                FALSE    FALSE                     FALSE            FALSE
## 344                FALSE    FALSE                     FALSE            FALSE
## 345                FALSE    FALSE                     FALSE            FALSE
## 346                FALSE    FALSE                     FALSE            FALSE
## 347                FALSE    FALSE                     FALSE            FALSE
## 348                FALSE    FALSE                     FALSE            FALSE
## 349                FALSE    FALSE                     FALSE            FALSE
## 350                FALSE    FALSE                     FALSE            FALSE
## 351                FALSE    FALSE                     FALSE            FALSE
## 352                FALSE    FALSE                     FALSE            FALSE
## 353                FALSE    FALSE                     FALSE            FALSE
## 354                FALSE    FALSE                     FALSE            FALSE
## 355                FALSE    FALSE                     FALSE            FALSE
## 356                FALSE    FALSE                     FALSE            FALSE
## 357                FALSE    FALSE                     FALSE            FALSE
## 358                FALSE    FALSE                     FALSE            FALSE
## 359                FALSE    FALSE                     FALSE            FALSE
## 360                FALSE    FALSE                     FALSE            FALSE
## 361                FALSE    FALSE                     FALSE            FALSE
## 362                FALSE    FALSE                     FALSE            FALSE
## 363                FALSE    FALSE                     FALSE            FALSE
## 364                FALSE    FALSE                     FALSE            FALSE
## 365                FALSE    FALSE                     FALSE            FALSE
## 366                FALSE    FALSE                     FALSE            FALSE
## 367                FALSE    FALSE                     FALSE            FALSE
## 368                FALSE    FALSE                     FALSE            FALSE
## 369                FALSE    FALSE                     FALSE            FALSE
## 370                FALSE    FALSE                     FALSE            FALSE
## 371                FALSE    FALSE                     FALSE            FALSE
## 372                FALSE    FALSE                     FALSE            FALSE
## 373                FALSE    FALSE                     FALSE            FALSE
## 374                FALSE    FALSE                     FALSE            FALSE
## 375                FALSE    FALSE                     FALSE            FALSE
## 376                FALSE    FALSE                     FALSE            FALSE
## 377                FALSE    FALSE                     FALSE            FALSE
## 378                FALSE    FALSE                     FALSE            FALSE
## 379                FALSE    FALSE                     FALSE            FALSE
## 380                FALSE    FALSE                     FALSE            FALSE
## 381                FALSE    FALSE                     FALSE            FALSE
## 382                FALSE    FALSE                     FALSE            FALSE
## 383                FALSE    FALSE                     FALSE            FALSE
## 384                FALSE    FALSE                     FALSE            FALSE
## 385                FALSE    FALSE                     FALSE            FALSE
## 386                FALSE    FALSE                     FALSE            FALSE
## 387                FALSE    FALSE                     FALSE            FALSE
## 388                FALSE    FALSE                     FALSE            FALSE
## 389                FALSE    FALSE                     FALSE            FALSE
## 390                FALSE    FALSE                     FALSE            FALSE
## 391                FALSE    FALSE                     FALSE            FALSE
## 392                FALSE    FALSE                     FALSE            FALSE
## 393                FALSE    FALSE                     FALSE            FALSE
## 394                FALSE    FALSE                     FALSE            FALSE
## 395                FALSE    FALSE                     FALSE            FALSE
## 396                FALSE    FALSE                     FALSE            FALSE
## 397                FALSE    FALSE                     FALSE            FALSE
## 398                FALSE    FALSE                     FALSE            FALSE
## 399                FALSE    FALSE                     FALSE            FALSE
## 400                FALSE    FALSE                     FALSE            FALSE
## 401                FALSE    FALSE                     FALSE            FALSE
## 402                FALSE    FALSE                     FALSE            FALSE
## 403                FALSE    FALSE                     FALSE            FALSE
## 404                FALSE    FALSE                     FALSE            FALSE
## 405                FALSE    FALSE                     FALSE            FALSE
## 406                FALSE    FALSE                     FALSE            FALSE
## 407                FALSE    FALSE                     FALSE            FALSE
## 408                FALSE    FALSE                     FALSE            FALSE
## 409                FALSE    FALSE                     FALSE            FALSE
## 410                FALSE    FALSE                     FALSE            FALSE
## 411                FALSE    FALSE                     FALSE            FALSE
## 412                FALSE    FALSE                     FALSE            FALSE
## 413                FALSE    FALSE                     FALSE            FALSE
## 414                FALSE    FALSE                     FALSE            FALSE
## 415                FALSE    FALSE                     FALSE            FALSE
## 416                FALSE    FALSE                     FALSE            FALSE
## 417                FALSE    FALSE                     FALSE            FALSE
## 418                FALSE    FALSE                     FALSE            FALSE
## 419                FALSE    FALSE                     FALSE            FALSE
## 420                FALSE    FALSE                     FALSE            FALSE
## 421                FALSE    FALSE                     FALSE            FALSE
## 422                FALSE    FALSE                     FALSE            FALSE
## 423                FALSE    FALSE                     FALSE            FALSE
## 424                FALSE    FALSE                     FALSE            FALSE
## 425                FALSE    FALSE                     FALSE            FALSE
## 426                FALSE    FALSE                     FALSE            FALSE
## 427                FALSE    FALSE                     FALSE            FALSE
## 428                FALSE    FALSE                     FALSE            FALSE
## 429                FALSE    FALSE                     FALSE            FALSE
## 430                FALSE    FALSE                     FALSE            FALSE
## 431                FALSE    FALSE                     FALSE            FALSE
## 432                FALSE    FALSE                     FALSE            FALSE
## 433                FALSE    FALSE                     FALSE            FALSE
## 434                FALSE    FALSE                     FALSE            FALSE
## 435                FALSE    FALSE                     FALSE            FALSE
## 436                FALSE    FALSE                     FALSE            FALSE
## 437                FALSE    FALSE                     FALSE            FALSE
## 438                FALSE    FALSE                     FALSE            FALSE
## 439                FALSE    FALSE                     FALSE            FALSE
## 440                FALSE    FALSE                     FALSE            FALSE
## 441                FALSE    FALSE                     FALSE            FALSE
## 442                FALSE    FALSE                     FALSE            FALSE
## 443                FALSE    FALSE                     FALSE            FALSE
## 444                FALSE    FALSE                     FALSE            FALSE
## 445                FALSE    FALSE                     FALSE            FALSE
## 446                FALSE    FALSE                     FALSE            FALSE
## 447                FALSE    FALSE                     FALSE            FALSE
## 448                FALSE    FALSE                     FALSE            FALSE
## 449                FALSE    FALSE                     FALSE            FALSE
## 450                FALSE    FALSE                     FALSE            FALSE
## 451                FALSE    FALSE                     FALSE            FALSE
## 452                FALSE    FALSE                     FALSE            FALSE
## 453                FALSE    FALSE                     FALSE            FALSE
## 454                FALSE    FALSE                     FALSE            FALSE
## 455                FALSE    FALSE                     FALSE            FALSE
## 456                FALSE    FALSE                     FALSE            FALSE
## 457                FALSE    FALSE                     FALSE            FALSE
## 458                FALSE    FALSE                     FALSE            FALSE
## 459                FALSE    FALSE                     FALSE            FALSE
## 460                FALSE    FALSE                     FALSE            FALSE
##      Average.MLA.Fare Market.Share.LPA Average.LPA.Fare City1ABQ City1ACY
## 1               FALSE            FALSE            FALSE    FALSE    FALSE
## 2               FALSE            FALSE            FALSE    FALSE    FALSE
## 3               FALSE            FALSE            FALSE    FALSE    FALSE
## 4               FALSE            FALSE            FALSE    FALSE    FALSE
## 5               FALSE            FALSE            FALSE    FALSE    FALSE
## 6               FALSE            FALSE            FALSE    FALSE    FALSE
## 7               FALSE            FALSE            FALSE    FALSE    FALSE
## 8               FALSE            FALSE            FALSE    FALSE    FALSE
## 9               FALSE            FALSE            FALSE    FALSE    FALSE
## 10              FALSE            FALSE            FALSE    FALSE    FALSE
## 11              FALSE            FALSE            FALSE    FALSE    FALSE
## 12              FALSE            FALSE            FALSE    FALSE    FALSE
## 13              FALSE            FALSE            FALSE    FALSE    FALSE
## 14              FALSE            FALSE            FALSE    FALSE    FALSE
## 15              FALSE            FALSE            FALSE    FALSE    FALSE
## 16              FALSE            FALSE            FALSE    FALSE    FALSE
## 17              FALSE            FALSE            FALSE    FALSE    FALSE
## 18              FALSE            FALSE            FALSE    FALSE    FALSE
## 19              FALSE            FALSE            FALSE    FALSE    FALSE
## 20              FALSE            FALSE            FALSE    FALSE    FALSE
## 21              FALSE            FALSE            FALSE    FALSE    FALSE
## 22              FALSE            FALSE            FALSE    FALSE    FALSE
## 23              FALSE            FALSE            FALSE    FALSE    FALSE
## 24              FALSE            FALSE            FALSE    FALSE    FALSE
## 25              FALSE            FALSE            FALSE    FALSE    FALSE
## 26              FALSE            FALSE            FALSE    FALSE    FALSE
## 27              FALSE            FALSE            FALSE    FALSE    FALSE
## 28              FALSE            FALSE            FALSE    FALSE    FALSE
## 29              FALSE            FALSE            FALSE    FALSE    FALSE
## 30              FALSE            FALSE            FALSE    FALSE    FALSE
## 31              FALSE            FALSE            FALSE    FALSE    FALSE
## 32              FALSE            FALSE            FALSE    FALSE    FALSE
## 33              FALSE            FALSE            FALSE    FALSE    FALSE
## 34              FALSE            FALSE            FALSE    FALSE    FALSE
## 35              FALSE            FALSE            FALSE    FALSE    FALSE
## 36              FALSE            FALSE            FALSE    FALSE    FALSE
## 37              FALSE            FALSE            FALSE    FALSE    FALSE
## 38              FALSE            FALSE            FALSE    FALSE    FALSE
## 39              FALSE            FALSE            FALSE    FALSE    FALSE
## 40              FALSE            FALSE            FALSE    FALSE    FALSE
## 41              FALSE            FALSE            FALSE    FALSE    FALSE
## 42              FALSE            FALSE            FALSE    FALSE    FALSE
## 43              FALSE            FALSE            FALSE    FALSE    FALSE
## 44              FALSE            FALSE            FALSE    FALSE    FALSE
## 45              FALSE            FALSE            FALSE    FALSE    FALSE
## 46              FALSE            FALSE            FALSE    FALSE    FALSE
## 47              FALSE            FALSE            FALSE    FALSE    FALSE
## 48              FALSE            FALSE            FALSE    FALSE    FALSE
## 49              FALSE            FALSE            FALSE    FALSE    FALSE
## 50              FALSE            FALSE            FALSE    FALSE    FALSE
## 51              FALSE            FALSE            FALSE    FALSE    FALSE
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##      City1ALB City1AMA City1ATL City1AUS City1BDL City1BHM City1BNA City1BOI
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## 460     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
##      City1BOS City1BTV City1BUF City1BUR City1BWI City1CAE City1CAK City1CHS
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 2       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 3       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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## 427     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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## 459     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 460     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
##      City1CLE City1CLT City1CMH City1COS City1CRP City1CVG City1DAY City1DEN
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 2       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 3       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 4       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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## 9       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City1GRR City1GSO City1GSP City1HRL City1IAD City1IAH City1IND City1ISP
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##      City1JAX City1LAS City1LAX City1LGA City1LGB City1LIT City1MCI City1MCO
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##      City1MDT City1MEM City1MHT City1MIA City1MKE City1MSN City1MSP City1MSY
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City1MYR City1OAK City1OKC City1OMA City1ONT City1ORD City1ORF City1PDX
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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## 460     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
##      City1PHF City1PHL City1PHX City1PIT City1PSP City1PVD City1RDU City1RNO
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 2       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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## 460     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
##      City1ROC City1RSW City1SAN City1SAT City1SDF City1SEA City1SFO City1SJC
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 2       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 3       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
## 4       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City1SLC City1SMF City1SNA City1STL City1SYR City1TLH City1TPA City1TYS
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City2DTW City2ELP City2FLL City2FNT City2GEG City2GPT City2GSO City2HPN
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##      City2HRL City2IAD City2IAH City2ICT City2IND City2ISP City2JAN City2JAX
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##      City2LAS City2LAX City2LBB City2LGA City2LGB City2LIT City2MAF City2MCI
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City2MCO City2MDT City2MEM City2MHT City2MIA City2MKE City2MSP City2MSY
## 1       FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE
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##      City2OAK City2OKC City2OMA City2ONT City2ORD City2ORF City2PBI City2PDX
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##      City2RIC City2RNO City2ROC City2RSW City2SAN City2SAT City2SAV City2SDF
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##      City2SEA City2SFO City2SJC City2SLC City2SMF City2SNA City2SRQ City2STL
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## 456                           FALSE                          FALSE
## 457                           FALSE                          FALSE
## 458                           FALSE                          FALSE
## 459                           FALSE                          FALSE
## 460                           FALSE                          FALSE
##      Market.Leading.Airline..MLA.FL Market.Leading.Airline..MLA.G4
## 1                             FALSE                          FALSE
## 2                             FALSE                          FALSE
## 3                             FALSE                          FALSE
## 4                             FALSE                          FALSE
## 5                             FALSE                          FALSE
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## 377                           FALSE                          FALSE
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## 380                           FALSE                          FALSE
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## 399                           FALSE                          FALSE
## 400                           FALSE                          FALSE
## 401                           FALSE                          FALSE
## 402                           FALSE                          FALSE
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## 405                           FALSE                          FALSE
## 406                           FALSE                          FALSE
## 407                           FALSE                          FALSE
## 408                           FALSE                          FALSE
## 409                           FALSE                          FALSE
## 410                           FALSE                          FALSE
## 411                           FALSE                          FALSE
## 412                           FALSE                          FALSE
## 413                           FALSE                          FALSE
## 414                           FALSE                          FALSE
## 415                           FALSE                          FALSE
## 416                           FALSE                          FALSE
## 417                           FALSE                          FALSE
## 418                           FALSE                          FALSE
## 419                           FALSE                          FALSE
## 420                           FALSE                          FALSE
## 421                           FALSE                          FALSE
## 422                           FALSE                          FALSE
## 423                           FALSE                          FALSE
## 424                           FALSE                          FALSE
## 425                           FALSE                          FALSE
## 426                           FALSE                          FALSE
## 427                           FALSE                          FALSE
## 428                           FALSE                          FALSE
## 429                           FALSE                          FALSE
## 430                           FALSE                          FALSE
## 431                           FALSE                          FALSE
## 432                           FALSE                          FALSE
## 433                           FALSE                          FALSE
## 434                           FALSE                          FALSE
## 435                           FALSE                          FALSE
## 436                           FALSE                          FALSE
## 437                           FALSE                          FALSE
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## 440                           FALSE                          FALSE
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## 444                           FALSE                          FALSE
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## 447                           FALSE                          FALSE
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## 450                           FALSE                          FALSE
## 451                           FALSE                          FALSE
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## 455                           FALSE                          FALSE
## 456                           FALSE                          FALSE
## 457                           FALSE                          FALSE
## 458                           FALSE                          FALSE
## 459                           FALSE                          FALSE
## 460                           FALSE                          FALSE
##      Market.Leading.Airline..MLA.HP Market.Leading.Airline..MLA.NK
## 1                             FALSE                          FALSE
## 2                             FALSE                          FALSE
## 3                             FALSE                          FALSE
## 4                             FALSE                          FALSE
## 5                             FALSE                          FALSE
## 6                             FALSE                          FALSE
## 7                             FALSE                          FALSE
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##      Low.Price.Airline..LPA.AA Low.Price.Airline..LPA.AQ
## 1                        FALSE                     FALSE
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##      Low.Price.Airline..LPA.FL Low.Price.Airline..LPA.G4
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##      Low.Price.Airline..LPA.NW Low.Price.Airline..LPA.SY
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## 68                       FALSE
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## 459                      FALSE
## 460                      FALSE
##  [ reached getOption("max.print") -- omitted 540 rows ]
plot_missing(airdata)

#The dataset has no missing values.
#This ensures reliability and accurate in analyses done in this project.
#Hence, variable imputation and MCAR test are not required.
#Standardize all variables


air1<-as.data.frame(scale(airdata))



air<-as.data.frame(scale(airline_clean))


# Printing the resulting data frame to check
print(head(air))
##   Average.Flight.Fare   Distance Average.Weekly.Passengers Market.Share.MLA
## 1          -0.9368159 -0.8505674                -0.2338755        0.5154121
## 2          -0.7897959 -0.3327826                -0.6833202        0.7708175
## 3           0.9000153 -0.3452593                -0.8691588        0.9679634
## 4          -1.7650899 -1.2248697                 0.3207194        1.9084378
## 5          -0.1344543 -0.5464468                -0.5731801       -1.0659165
## 6          -0.5564017  0.2037174                -0.9200910       -1.0196210
##   Average.MLA.Fare Market.Share.LPA Average.LPA.Fare
## 1       -0.9379300        1.3351633     -0.735564651
## 2       -0.7417904       -0.6291264     -0.565193579
## 3        0.8990496       -1.1654487      0.472540712
## 4       -1.6237683        2.3284352     -1.643851390
## 5       -0.1193803       -0.6992266      0.005151045
## 6       -0.4997872       -0.6343190     -0.376730004
print(head(air))
##   Average.Flight.Fare   Distance Average.Weekly.Passengers Market.Share.MLA
## 1          -0.9368159 -0.8505674                -0.2338755        0.5154121
## 2          -0.7897959 -0.3327826                -0.6833202        0.7708175
## 3           0.9000153 -0.3452593                -0.8691588        0.9679634
## 4          -1.7650899 -1.2248697                 0.3207194        1.9084378
## 5          -0.1344543 -0.5464468                -0.5731801       -1.0659165
## 6          -0.5564017  0.2037174                -0.9200910       -1.0196210
##   Average.MLA.Fare Market.Share.LPA Average.LPA.Fare
## 1       -0.9379300        1.3351633     -0.735564651
## 2       -0.7417904       -0.6291264     -0.565193579
## 3        0.8990496       -1.1654487      0.472540712
## 4       -1.6237683        2.3284352     -1.643851390
## 5       -0.1193803       -0.6992266      0.005151045
## 6       -0.4997872       -0.6343190     -0.376730004
summary(air)
##  Average.Flight.Fare    Distance       Average.Weekly.Passengers
##  Min.   :-2.11206    Min.   :-1.5056   Min.   :-0.9737          
##  1st Qu.:-0.68449    1st Qu.:-0.7679   1st Qu.:-0.7667          
##  Median :-0.05488    Median :-0.2236   Median :-0.3837          
##  Mean   : 0.00000    Mean   : 0.0000   Mean   : 0.0000          
##  3rd Qu.: 0.63262    3rd Qu.: 0.6451   3rd Qu.: 0.4596          
##  Max.   : 4.33312    Max.   : 2.5743   Max.   : 3.0987          
##  Market.Share.MLA   Average.MLA.Fare   Market.Share.LPA  Average.LPA.Fare 
##  Min.   :-2.21602   Min.   :-1.92204   Min.   :-1.2289   Min.   :-2.0389  
##  1st Qu.:-0.71064   1st Qu.:-0.68503   1st Qu.:-0.7886   1st Qu.:-0.6126  
##  Median :-0.03961   Median :-0.09759   Median :-0.2946   Median :-0.1124  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.: 0.70944   3rd Qu.: 0.60045   3rd Qu.: 0.6709   3rd Qu.: 0.5468  
##  Max.   : 2.06605   Max.   : 5.22600   Max.   : 2.4408   Max.   : 5.2287
summary(air1)
##  Average.Flight.Fare    Distance       Average.Weekly.Passengers
##  Min.   :-2.03837    Min.   :-1.4754   Min.   :-0.6404          
##  1st Qu.:-0.67552    1st Qu.:-0.7828   1st Qu.:-0.5415          
##  Median :-0.03667    Median :-0.2145   Median :-0.3490          
##  Mean   : 0.00000    Mean   : 0.0000   Mean   : 0.0000          
##  3rd Qu.: 0.61441    3rd Qu.: 0.6149   3rd Qu.: 0.1274          
##  Max.   : 4.29608    Max.   : 2.5918   Max.   :10.8001          
##  Market.Share.MLA   Average.MLA.Fare   Market.Share.LPA  Average.LPA.Fare 
##  Min.   :-2.19171   Min.   :-1.85329   Min.   :-1.2360   Min.   :-1.9815  
##  1st Qu.:-0.70316   1st Qu.:-0.67926   1st Qu.:-0.7881   1st Qu.:-0.6230  
##  Median :-0.04588   Median :-0.08375   Median :-0.3104   Median :-0.1137  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.: 0.69091   3rd Qu.: 0.57979   3rd Qu.: 0.6798   3rd Qu.: 0.5365  
##  Max.   : 2.05865   Max.   : 5.16090   Max.   : 2.4153   Max.   : 5.1821  
##     City1ABQ          City1ACY           City1ALB           City1AMA       
##  Min.   :-0.1353   Min.   :-0.06334   Min.   :-0.08976   Min.   :-0.04474  
##  1st Qu.:-0.1353   1st Qu.:-0.06334   1st Qu.:-0.08976   1st Qu.:-0.04474  
##  Median :-0.1353   Median :-0.06334   Median :-0.08976   Median :-0.04474  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1353   3rd Qu.:-0.06334   3rd Qu.:-0.08976   3rd Qu.:-0.04474  
##  Max.   : 7.3825   Max.   :15.77184   Max.   :11.12996   Max.   :22.32714  
##     City1ATL          City1AUS          City1BDL          City1BHM       
##  Min.   :-0.2614   Min.   :-0.1464   Min.   :-0.1191   Min.   :-0.08976  
##  1st Qu.:-0.2614   1st Qu.:-0.1464   1st Qu.:-0.1191   1st Qu.:-0.08976  
##  Median :-0.2614   Median :-0.1464   Median :-0.1191   Median :-0.08976  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000  
##  3rd Qu.:-0.2614   3rd Qu.:-0.1464   3rd Qu.:-0.1191   3rd Qu.:-0.08976  
##  Max.   : 3.8224   Max.   : 6.8244   Max.   : 8.3880   Max.   :11.12996  
##     City1BNA          City1BOI           City1BOS          City1BTV       
##  Min.   :-0.1054   Min.   :-0.08976   Min.   :-0.1986   Min.   :-0.03162  
##  1st Qu.:-0.1054   1st Qu.:-0.08976   1st Qu.:-0.1986   1st Qu.:-0.03162  
##  Median :-0.1054   Median :-0.08976   Median :-0.1986   Median :-0.03162  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000  
##  3rd Qu.:-0.1054   3rd Qu.:-0.08976   3rd Qu.:-0.1986   3rd Qu.:-0.03162  
##  Max.   : 9.4773   Max.   :11.12996   Max.   : 5.0290   Max.   :31.59115  
##     City1BUF           City1BUR          City1BWI         City1CAE       
##  Min.   :-0.09525   Min.   :-0.1005   Min.   :-0.222   Min.   :-0.03162  
##  1st Qu.:-0.09525   1st Qu.:-0.1005   1st Qu.:-0.222   1st Qu.:-0.03162  
##  Median :-0.09525   Median :-0.1005   Median :-0.222   Median :-0.03162  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.000   Mean   : 0.00000  
##  3rd Qu.:-0.09525   3rd Qu.:-0.1005   3rd Qu.:-0.222   3rd Qu.:-0.03162  
##  Max.   :10.48814   Max.   : 9.9449   Max.   : 4.501   Max.   :31.59115  
##     City1CAK           City1CHS           City1CLE          City1CLT      
##  Min.   :-0.04474   Min.   :-0.03162   Min.   :-0.1499   Min.   :-0.1353  
##  1st Qu.:-0.04474   1st Qu.:-0.03162   1st Qu.:-0.1499   1st Qu.:-0.1353  
##  Median :-0.04474   Median :-0.03162   Median :-0.1499   Median :-0.1353  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.03162   3rd Qu.:-0.1499   3rd Qu.:-0.1353  
##  Max.   :22.32714   Max.   :31.59115   Max.   : 6.6641   Max.   : 7.3825  
##     City1CMH          City1COS           City1CRP           City1CVG      
##  Min.   :-0.1353   Min.   :-0.05483   Min.   :-0.04474   Min.   :-0.1102  
##  1st Qu.:-0.1353   1st Qu.:-0.05483   1st Qu.:-0.04474   1st Qu.:-0.1102  
##  Median :-0.1353   Median :-0.05483   Median :-0.04474   Median :-0.1102  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1353   3rd Qu.:-0.05483   3rd Qu.:-0.04474   3rd Qu.:-0.1102  
##  Max.   : 7.3825   Max.   :18.22089   Max.   :22.32714   Max.   : 9.0692  
##     City1DAY           City1DEN          City1DFW          City1DSM       
##  Min.   :-0.05483   Min.   :-0.1931   Min.   :-0.2341   Min.   :-0.04474  
##  1st Qu.:-0.05483   1st Qu.:-0.1931   1st Qu.:-0.2341   1st Qu.:-0.04474  
##  Median :-0.05483   Median :-0.1931   Median :-0.2341   Median :-0.04474  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000  
##  3rd Qu.:-0.05483   3rd Qu.:-0.1931   3rd Qu.:-0.2341   3rd Qu.:-0.04474  
##  Max.   :18.22089   Max.   : 5.1721   Max.   : 4.2676   Max.   :22.32714  
##     City1DTW          City1ELP           City1EUG           City1FLL      
##  Min.   :-0.1846   Min.   :-0.07765   Min.   :-0.03162   Min.   :-0.1727  
##  1st Qu.:-0.1846   1st Qu.:-0.07765   1st Qu.:-0.03162   1st Qu.:-0.1727  
##  Median :-0.1846   Median :-0.07765   Median :-0.03162   Median :-0.1727  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1846   3rd Qu.:-0.07765   3rd Qu.:-0.03162   3rd Qu.:-0.1727  
##  Max.   : 5.4105   Max.   :12.86472   Max.   :31.59115   Max.   : 5.7835  
##     City1FNT           City1GPT           City1GRR           City1GSO       
##  Min.   :-0.03162   Min.   :-0.03162   Min.   :-0.06334   Min.   :-0.05483  
##  1st Qu.:-0.03162   1st Qu.:-0.03162   1st Qu.:-0.06334   1st Qu.:-0.05483  
##  Median :-0.03162   Median :-0.03162   Median :-0.06334   Median :-0.05483  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.03162   3rd Qu.:-0.03162   3rd Qu.:-0.06334   3rd Qu.:-0.05483  
##  Max.   :31.59115   Max.   :31.59115   Max.   :15.77184   Max.   :18.22089  
##     City1GSP           City1HRL           City1IAD           City1IAH      
##  Min.   :-0.03162   Min.   :-0.03162   Min.   :-0.03162   Min.   :-0.1986  
##  1st Qu.:-0.03162   1st Qu.:-0.03162   1st Qu.:-0.03162   1st Qu.:-0.1986  
##  Median :-0.03162   Median :-0.03162   Median :-0.03162   Median :-0.1986  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.03162   3rd Qu.:-0.03162   3rd Qu.:-0.03162   3rd Qu.:-0.1986  
##  Max.   :31.59115   Max.   :31.59115   Max.   :31.59115   Max.   : 5.0290  
##     City1IND          City1ISP           City1JAX           City1LAS      
##  Min.   :-0.1102   Min.   :-0.07085   Min.   :-0.08392   Min.   :-0.1959  
##  1st Qu.:-0.1102   1st Qu.:-0.07085   1st Qu.:-0.08392   1st Qu.:-0.1959  
##  Median :-0.1102   Median :-0.07085   Median :-0.08392   Median :-0.1959  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1102   3rd Qu.:-0.07085   3rd Qu.:-0.08392   3rd Qu.:-0.1959  
##  Max.   : 9.0692   Max.   :14.09968   Max.   :11.90442   Max.   : 5.0991  
##     City1LAX          City1LGA          City1LGB           City1LIT       
##  Min.   :-0.1788   Min.   :-0.1696   Min.   :-0.06334   Min.   :-0.03162  
##  1st Qu.:-0.1788   1st Qu.:-0.1696   1st Qu.:-0.06334   1st Qu.:-0.03162  
##  Median :-0.1788   Median :-0.1696   Median :-0.06334   Median :-0.03162  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1788   3rd Qu.:-0.1696   3rd Qu.:-0.06334   3rd Qu.:-0.03162  
##  Max.   : 5.5881   Max.   : 5.8889   Max.   :15.77184   Max.   :31.59115  
##     City1MCI          City1MCO          City1MDT           City1MEM       
##  Min.   :-0.1534   Min.   :-0.1314   Min.   :-0.03162   Min.   :-0.07765  
##  1st Qu.:-0.1534   1st Qu.:-0.1314   1st Qu.:-0.03162   1st Qu.:-0.07765  
##  Median :-0.1534   Median :-0.1314   Median :-0.03162   Median :-0.07765  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1534   3rd Qu.:-0.1314   3rd Qu.:-0.03162   3rd Qu.:-0.07765  
##  Max.   : 6.5143   Max.   : 7.6004   Max.   :31.59115   Max.   :12.86472  
##     City1MHT           City1MIA          City1MKE           City1MSN       
##  Min.   :-0.05483   Min.   :-0.1147   Min.   :-0.08392   Min.   :-0.03162  
##  1st Qu.:-0.05483   1st Qu.:-0.1147   1st Qu.:-0.08392   1st Qu.:-0.03162  
##  Median :-0.05483   Median :-0.1147   Median :-0.08392   Median :-0.03162  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.05483   3rd Qu.:-0.1147   3rd Qu.:-0.08392   3rd Qu.:-0.03162  
##  Max.   :18.22089   Max.   : 8.7090   Max.   :11.90442   Max.   :31.59115  
##     City1MSP          City1MSY          City1MYR           City1OAK      
##  Min.   :-0.1428   Min.   :-0.1233   Min.   :-0.03162   Min.   :-0.1102  
##  1st Qu.:-0.1428   1st Qu.:-0.1233   1st Qu.:-0.03162   1st Qu.:-0.1102  
##  Median :-0.1428   Median :-0.1233   Median :-0.03162   Median :-0.1102  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1428   3rd Qu.:-0.1233   3rd Qu.:-0.03162   3rd Qu.:-0.1102  
##  Max.   : 6.9965   Max.   : 8.0994   Max.   :31.59115   Max.   : 9.0692  
##     City1OKC           City1OMA           City1ONT           City1ORD      
##  Min.   :-0.04474   Min.   :-0.06334   Min.   :-0.08976   Min.   :-0.2592  
##  1st Qu.:-0.04474   1st Qu.:-0.06334   1st Qu.:-0.08976   1st Qu.:-0.2592  
##  Median :-0.04474   Median :-0.06334   Median :-0.08976   Median :-0.2592  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.06334   3rd Qu.:-0.08976   3rd Qu.:-0.2592  
##  Max.   :22.32714   Max.   :15.77184   Max.   :11.12996   Max.   : 3.8546  
##     City1ORF           City1PDX          City1PHF           City1PHL      
##  Min.   :-0.05483   Min.   :-0.1054   Min.   :-0.03162   Min.   :-0.1054  
##  1st Qu.:-0.05483   1st Qu.:-0.1054   1st Qu.:-0.03162   1st Qu.:-0.1054  
##  Median :-0.05483   Median :-0.1054   Median :-0.03162   Median :-0.1054  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.05483   3rd Qu.:-0.1054   3rd Qu.:-0.03162   3rd Qu.:-0.1054  
##  Max.   :18.22089   Max.   : 9.4773   Max.   :31.59115   Max.   : 9.4773  
##     City1PHX          City1PIT           City1PSP           City1PVD       
##  Min.   :-0.1353   Min.   :-0.05483   Min.   :-0.05483   Min.   :-0.07085  
##  1st Qu.:-0.1353   1st Qu.:-0.05483   1st Qu.:-0.05483   1st Qu.:-0.07085  
##  Median :-0.1353   Median :-0.05483   Median :-0.05483   Median :-0.07085  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1353   3rd Qu.:-0.05483   3rd Qu.:-0.05483   3rd Qu.:-0.07085  
##  Max.   : 7.3825   Max.   :18.22089   Max.   :18.22089   Max.   :14.09968  
##     City1RDU           City1RNO           City1ROC           City1RSW       
##  Min.   :-0.07085   Min.   :-0.05483   Min.   :-0.03162   Min.   :-0.08976  
##  1st Qu.:-0.07085   1st Qu.:-0.05483   1st Qu.:-0.03162   1st Qu.:-0.08976  
##  Median :-0.07085   Median :-0.05483   Median :-0.03162   Median :-0.08976  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.07085   3rd Qu.:-0.05483   3rd Qu.:-0.03162   3rd Qu.:-0.08976  
##  Max.   :14.09968   Max.   :18.22089   Max.   :31.59115   Max.   :11.12996  
##     City1SAN           City1SAT           City1SDF           City1SEA       
##  Min.   :-0.07765   Min.   :-0.05483   Min.   :-0.06334   Min.   :-0.06334  
##  1st Qu.:-0.07765   1st Qu.:-0.05483   1st Qu.:-0.06334   1st Qu.:-0.06334  
##  Median :-0.07765   Median :-0.05483   Median :-0.06334   Median :-0.06334  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.07765   3rd Qu.:-0.05483   3rd Qu.:-0.06334   3rd Qu.:-0.06334  
##  Max.   :12.86472   Max.   :18.22089   Max.   :15.77184   Max.   :15.77184  
##     City1SFO           City1SJC           City1SLC           City1SMF       
##  Min.   :-0.06334   Min.   :-0.06334   Min.   :-0.08392   Min.   :-0.07765  
##  1st Qu.:-0.06334   1st Qu.:-0.06334   1st Qu.:-0.08392   1st Qu.:-0.07765  
##  Median :-0.06334   Median :-0.06334   Median :-0.08392   Median :-0.07765  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.06334   3rd Qu.:-0.06334   3rd Qu.:-0.08392   3rd Qu.:-0.07765  
##  Max.   :15.77184   Max.   :15.77184   Max.   :11.90442   Max.   :12.86472  
##     City1SNA           City1STL           City1SYR           City1TLH       
##  Min.   :-0.03162   Min.   :-0.09525   Min.   :-0.03162   Min.   :-0.03162  
##  1st Qu.:-0.03162   1st Qu.:-0.09525   1st Qu.:-0.03162   1st Qu.:-0.03162  
##  Median :-0.03162   Median :-0.09525   Median :-0.03162   Median :-0.03162  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.03162   3rd Qu.:-0.09525   3rd Qu.:-0.03162   3rd Qu.:-0.03162  
##  Max.   :31.59115   Max.   :10.48814   Max.   :31.59115   Max.   :31.59115  
##     City1TPA           City1TYS           City2ATL           City2AUS       
##  Min.   :-0.04474   Min.   :-0.03162   Min.   :-0.05483   Min.   :-0.03162  
##  1st Qu.:-0.04474   1st Qu.:-0.03162   1st Qu.:-0.05483   1st Qu.:-0.03162  
##  Median :-0.04474   Median :-0.03162   Median :-0.05483   Median :-0.03162  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.03162   3rd Qu.:-0.05483   3rd Qu.:-0.03162  
##  Max.   :22.32714   Max.   :31.59115   Max.   :18.22089   Max.   :31.59115  
##     City2BDL          City2BHM           City2BNA          City2BOS       
##  Min.   :-0.1005   Min.   :-0.03162   Min.   :-0.1275   Min.   :-0.04474  
##  1st Qu.:-0.1005   1st Qu.:-0.03162   1st Qu.:-0.1275   1st Qu.:-0.04474  
##  Median :-0.1005   Median :-0.03162   Median :-0.1275   Median :-0.04474  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000  
##  3rd Qu.:-0.1005   3rd Qu.:-0.03162   3rd Qu.:-0.1275   3rd Qu.:-0.04474  
##  Max.   : 9.9449   Max.   :31.59115   Max.   : 7.8383   Max.   :22.32714  
##     City2BUF           City2BWI           City2CLE           City2CLT       
##  Min.   :-0.04474   Min.   :-0.06334   Min.   :-0.06334   Min.   :-0.05483  
##  1st Qu.:-0.04474   1st Qu.:-0.06334   1st Qu.:-0.06334   1st Qu.:-0.05483  
##  Median :-0.04474   Median :-0.06334   Median :-0.06334   Median :-0.05483  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.06334   3rd Qu.:-0.06334   3rd Qu.:-0.05483  
##  Max.   :22.32714   Max.   :15.77184   Max.   :15.77184   Max.   :18.22089  
##     City2CMH           City2CVG           City2DAY           City2DEN      
##  Min.   :-0.06334   Min.   :-0.05483   Min.   :-0.06334   Min.   :-0.1102  
##  1st Qu.:-0.06334   1st Qu.:-0.05483   1st Qu.:-0.06334   1st Qu.:-0.1102  
##  Median :-0.06334   Median :-0.05483   Median :-0.06334   Median :-0.1102  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.06334   3rd Qu.:-0.05483   3rd Qu.:-0.06334   3rd Qu.:-0.1102  
##  Max.   :15.77184   Max.   :18.22089   Max.   :15.77184   Max.   : 9.0692  
##     City2DFW          City2DSM           City2DTW           City2ELP       
##  Min.   :-0.1275   Min.   :-0.03162   Min.   :-0.08392   Min.   :-0.05483  
##  1st Qu.:-0.1275   1st Qu.:-0.03162   1st Qu.:-0.08392   1st Qu.:-0.05483  
##  Median :-0.1275   Median :-0.03162   Median :-0.08392   Median :-0.05483  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1275   3rd Qu.:-0.03162   3rd Qu.:-0.08392   3rd Qu.:-0.05483  
##  Max.   : 7.8383   Max.   :31.59115   Max.   :11.90442   Max.   :18.22089  
##     City2FLL          City2FNT           City2GEG           City2GPT       
##  Min.   :-0.1191   Min.   :-0.03162   Min.   :-0.09525   Min.   :-0.03162  
##  1st Qu.:-0.1191   1st Qu.:-0.03162   1st Qu.:-0.09525   1st Qu.:-0.03162  
##  Median :-0.1191   Median :-0.03162   Median :-0.09525   Median :-0.03162  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1191   3rd Qu.:-0.03162   3rd Qu.:-0.09525   3rd Qu.:-0.03162  
##  Max.   : 8.3880   Max.   :31.59115   Max.   :10.48814   Max.   :31.59115  
##     City2GSO           City2HPN           City2HRL           City2IAD     
##  Min.   :-0.05483   Min.   :-0.03162   Min.   :-0.03162   Min.   :-0.204  
##  1st Qu.:-0.05483   1st Qu.:-0.03162   1st Qu.:-0.03162   1st Qu.:-0.204  
##  Median :-0.05483   Median :-0.03162   Median :-0.03162   Median :-0.204  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.000  
##  3rd Qu.:-0.05483   3rd Qu.:-0.03162   3rd Qu.:-0.03162   3rd Qu.:-0.204  
##  Max.   :18.22089   Max.   :31.59115   Max.   :31.59115   Max.   : 4.897  
##     City2IAH          City2ICT           City2IND           City2ISP       
##  Min.   :-0.1428   Min.   :-0.03162   Min.   :-0.09525   Min.   :-0.05483  
##  1st Qu.:-0.1428   1st Qu.:-0.03162   1st Qu.:-0.09525   1st Qu.:-0.05483  
##  Median :-0.1428   Median :-0.03162   Median :-0.09525   Median :-0.05483  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.1428   3rd Qu.:-0.03162   3rd Qu.:-0.09525   3rd Qu.:-0.05483  
##  Max.   : 6.9965   Max.   :31.59115   Max.   :10.48814   Max.   :18.22089  
##     City2JAN           City2JAX           City2LAS          City2LAX      
##  Min.   :-0.04474   Min.   :-0.08976   Min.   :-0.1633   Min.   :-0.1665  
##  1st Qu.:-0.04474   1st Qu.:-0.08976   1st Qu.:-0.1633   1st Qu.:-0.1665  
##  Median :-0.04474   Median :-0.08976   Median :-0.1633   Median :-0.1665  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.08976   3rd Qu.:-0.1633   3rd Qu.:-0.1665  
##  Max.   :22.32714   Max.   :11.12996   Max.   : 6.1175   Max.   : 6.0001  
##     City2LBB           City2LGA          City2LGB           City2LIT       
##  Min.   :-0.05483   Min.   :-0.2093   Min.   :-0.04474   Min.   :-0.05483  
##  1st Qu.:-0.05483   1st Qu.:-0.2093   1st Qu.:-0.04474   1st Qu.:-0.05483  
##  Median :-0.05483   Median :-0.2093   Median :-0.04474   Median :-0.05483  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.05483   3rd Qu.:-0.2093   3rd Qu.:-0.04474   3rd Qu.:-0.05483  
##  Max.   :18.22089   Max.   : 4.7735   Max.   :22.32714   Max.   :18.22089  
##     City2MAF           City2MCI          City2MCO          City2MDT       
##  Min.   :-0.04474   Min.   :-0.1054   Min.   :-0.2119   Min.   :-0.03162  
##  1st Qu.:-0.04474   1st Qu.:-0.1054   1st Qu.:-0.2119   1st Qu.:-0.03162  
##  Median :-0.04474   Median :-0.1054   Median :-0.2119   Median :-0.03162  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.1054   3rd Qu.:-0.2119   3rd Qu.:-0.03162  
##  Max.   :22.32714   Max.   : 9.4773   Max.   : 4.7152   Max.   :31.59115  
##     City2MEM           City2MHT           City2MIA          City2MKE      
##  Min.   :-0.08392   Min.   :-0.07085   Min.   :-0.1102   Min.   :-0.1005  
##  1st Qu.:-0.08392   1st Qu.:-0.07085   1st Qu.:-0.1102   1st Qu.:-0.1005  
##  Median :-0.08392   Median :-0.07085   Median :-0.1102   Median :-0.1005  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.08392   3rd Qu.:-0.07085   3rd Qu.:-0.1102   3rd Qu.:-0.1005  
##  Max.   :11.90442   Max.   :14.09968   Max.   : 9.0692   Max.   : 9.9449  
##     City2MSP         City2MSY          City2OAK          City2OKC      
##  Min.   :-0.160   Min.   :-0.1391   Min.   :-0.1275   Min.   :-0.1005  
##  1st Qu.:-0.160   1st Qu.:-0.1391   1st Qu.:-0.1275   1st Qu.:-0.1005  
##  Median :-0.160   Median :-0.1391   Median :-0.1275   Median :-0.1005  
##  Mean   : 0.000   Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.160   3rd Qu.:-0.1391   3rd Qu.:-0.1275   3rd Qu.:-0.1005  
##  Max.   : 6.242   Max.   : 7.1819   Max.   : 7.8383   Max.   : 9.9449  
##     City2OMA           City2ONT          City2ORD           City2ORF       
##  Min.   :-0.08976   Min.   :-0.1005   Min.   :-0.09525   Min.   :-0.08976  
##  1st Qu.:-0.08976   1st Qu.:-0.1005   1st Qu.:-0.09525   1st Qu.:-0.08976  
##  Median :-0.08976   Median :-0.1005   Median :-0.09525   Median :-0.08976  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.08976   3rd Qu.:-0.1005   3rd Qu.:-0.09525   3rd Qu.:-0.08976  
##  Max.   :11.12996   Max.   : 9.9449   Max.   :10.48814   Max.   :11.12996  
##     City2PBI          City2PDX          City2PHF           City2PHL      
##  Min.   :-0.1191   Min.   :-0.1499   Min.   :-0.03162   Min.   :-0.1534  
##  1st Qu.:-0.1191   1st Qu.:-0.1499   1st Qu.:-0.03162   1st Qu.:-0.1534  
##  Median :-0.1191   Median :-0.1499   Median :-0.03162   Median :-0.1534  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1191   3rd Qu.:-0.1499   3rd Qu.:-0.03162   3rd Qu.:-0.1534  
##  Max.   : 8.3880   Max.   : 6.6641   Max.   :31.59115   Max.   : 6.5143  
##     City2PHX          City2PIT          City2PNS           City2PVD      
##  Min.   :-0.1931   Min.   :-0.1314   Min.   :-0.03162   Min.   :-0.1102  
##  1st Qu.:-0.1931   1st Qu.:-0.1314   1st Qu.:-0.03162   1st Qu.:-0.1102  
##  Median :-0.1931   Median :-0.1314   Median :-0.03162   Median :-0.1102  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.1931   3rd Qu.:-0.1314   3rd Qu.:-0.03162   3rd Qu.:-0.1102  
##  Max.   : 5.1721   Max.   : 7.6004   Max.   :31.59115   Max.   : 9.0692  
##     City2PWM           City2RDU          City2RIC           City2RNO       
##  Min.   :-0.03162   Min.   :-0.1534   Min.   :-0.06334   Min.   :-0.09525  
##  1st Qu.:-0.03162   1st Qu.:-0.1534   1st Qu.:-0.06334   1st Qu.:-0.09525  
##  Median :-0.03162   Median :-0.1534   Median :-0.06334   Median :-0.09525  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.03162   3rd Qu.:-0.1534   3rd Qu.:-0.06334   3rd Qu.:-0.09525  
##  Max.   :31.59115   Max.   : 6.5143   Max.   :15.77184   Max.   :10.48814  
##     City2ROC           City2RSW           City2SAN          City2SAT      
##  Min.   :-0.07085   Min.   :-0.09525   Min.   :-0.1931   Min.   :-0.1353  
##  1st Qu.:-0.07085   1st Qu.:-0.09525   1st Qu.:-0.1931   1st Qu.:-0.1353  
##  Median :-0.07085   Median :-0.09525   Median :-0.1931   Median :-0.1353  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.07085   3rd Qu.:-0.09525   3rd Qu.:-0.1931   3rd Qu.:-0.1353  
##  Max.   :14.09968   Max.   :10.48814   Max.   : 5.1721   Max.   : 7.3825  
##     City2SAV           City2SDF           City2SEA          City2SFO      
##  Min.   :-0.04474   Min.   :-0.07765   Min.   :-0.2093   Min.   :-0.1788  
##  1st Qu.:-0.04474   1st Qu.:-0.07765   1st Qu.:-0.2093   1st Qu.:-0.1788  
##  Median :-0.04474   Median :-0.07765   Median :-0.2093   Median :-0.1788  
##  Mean   : 0.00000   Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.07765   3rd Qu.:-0.2093   3rd Qu.:-0.1788  
##  Max.   :22.32714   Max.   :12.86472   Max.   : 4.7735   Max.   : 5.5881  
##     City2SJC          City2SLC          City2SMF          City2SNA      
##  Min.   :-0.1499   Min.   :-0.1428   Min.   :-0.1314   Min.   :-0.1391  
##  1st Qu.:-0.1499   1st Qu.:-0.1428   1st Qu.:-0.1314   1st Qu.:-0.1391  
##  Median :-0.1499   Median :-0.1428   Median :-0.1314   Median :-0.1391  
##  Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.0000   Mean   : 0.0000  
##  3rd Qu.:-0.1499   3rd Qu.:-0.1428   3rd Qu.:-0.1314   3rd Qu.:-0.1391  
##  Max.   : 6.6641   Max.   : 6.9965   Max.   : 7.6004   Max.   : 7.1819  
##     City2SRQ           City2STL          City2SYR           City2TLH       
##  Min.   :-0.04474   Min.   :-0.1788   Min.   :-0.05483   Min.   :-0.04474  
##  1st Qu.:-0.04474   1st Qu.:-0.1788   1st Qu.:-0.05483   1st Qu.:-0.04474  
##  Median :-0.04474   Median :-0.1788   Median :-0.05483   Median :-0.04474  
##  Mean   : 0.00000   Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.00000  
##  3rd Qu.:-0.04474   3rd Qu.:-0.1788   3rd Qu.:-0.05483   3rd Qu.:-0.04474  
##  Max.   :22.32714   Max.   : 5.5881   Max.   :18.22089   Max.   :22.32714  
##     City2TPA          City2TUL           City2TUS      
##  Min.   :-0.2195   Min.   :-0.07765   Min.   :-0.1102  
##  1st Qu.:-0.2195   1st Qu.:-0.07765   1st Qu.:-0.1102  
##  Median :-0.2195   Median :-0.07765   Median :-0.1102  
##  Mean   : 0.0000   Mean   : 0.00000   Mean   : 0.0000  
##  3rd Qu.:-0.2195   3rd Qu.:-0.07765   3rd Qu.:-0.1102  
##  Max.   : 4.5517   Max.   :12.86472   Max.   : 9.0692  
##  Market.Leading.Airline..MLA.AA Market.Leading.Airline..MLA.AS
##  Min.   :-0.3949                Min.   :-0.1817               
##  1st Qu.:-0.3949                1st Qu.:-0.1817               
##  Median :-0.3949                Median :-0.1817               
##  Mean   : 0.0000                Mean   : 0.0000               
##  3rd Qu.:-0.3949                3rd Qu.:-0.1817               
##  Max.   : 2.5300                Max.   : 5.4972               
##  Market.Leading.Airline..MLA.B6 Market.Leading.Airline..MLA.CO
##  Min.   :-0.1191                Min.   :-0.2721               
##  1st Qu.:-0.1191                1st Qu.:-0.2721               
##  Median :-0.1191                Median :-0.2721               
##  Mean   : 0.0000                Mean   : 0.0000               
##  3rd Qu.:-0.1191                3rd Qu.:-0.2721               
##  Max.   : 8.3880                Max.   : 3.6714               
##  Market.Leading.Airline..MLA.DL Market.Leading.Airline..MLA.F9
##  Min.   :-0.4395                Min.   :-0.05483              
##  1st Qu.:-0.4395                1st Qu.:-0.05483              
##  Median :-0.4395                Median :-0.05483              
##  Mean   : 0.0000                Mean   : 0.00000              
##  3rd Qu.:-0.4395                3rd Qu.:-0.05483              
##  Max.   : 2.2733                Max.   :18.22089              
##  Market.Leading.Airline..MLA.FL Market.Leading.Airline..MLA.G4
##  Min.   :-0.1275                Min.   :-0.03162              
##  1st Qu.:-0.1275                1st Qu.:-0.03162              
##  Median :-0.1275                Median :-0.03162              
##  Mean   : 0.0000                Mean   : 0.00000              
##  3rd Qu.:-0.1275                3rd Qu.:-0.03162              
##  Max.   : 7.8383                Max.   :31.59115              
##  Market.Leading.Airline..MLA.HP Market.Leading.Airline..MLA.NK
##  Min.   :-0.1758                Min.   :-0.1005               
##  1st Qu.:-0.1758                1st Qu.:-0.1005               
##  Median :-0.1758                Median :-0.1005               
##  Mean   : 0.0000                Mean   : 0.0000               
##  3rd Qu.:-0.1758                3rd Qu.:-0.1005               
##  Max.   : 5.6834                Max.   : 9.9449               
##  Market.Leading.Airline..MLA.NW Market.Leading.Airline..MLA.TZ
##  Min.   :-0.3066                Min.   :-0.1005               
##  1st Qu.:-0.3066                1st Qu.:-0.1005               
##  Median :-0.3066                Median :-0.1005               
##  Mean   : 0.0000                Mean   : 0.0000               
##  3rd Qu.:-0.3066                3rd Qu.:-0.1005               
##  Max.   : 3.2584                Max.   : 9.9449               
##  Market.Leading.Airline..MLA.UA Market.Leading.Airline..MLA.US
##  Min.   :-0.3162                Min.   :-0.27                 
##  1st Qu.:-0.3162                1st Qu.:-0.27                 
##  Median :-0.3162                Median :-0.27                 
##  Mean   : 0.0000                Mean   : 0.00                 
##  3rd Qu.:-0.3162                3rd Qu.:-0.27                 
##  Max.   : 3.1590                Max.   : 3.70                 
##  Market.Leading.Airline..MLA.WN Market.Leading.Airline..MLA.YX
##  Min.   :-0.5878                Min.   :-0.1275               
##  1st Qu.:-0.5878                1st Qu.:-0.1275               
##  Median :-0.5878                Median :-0.1275               
##  Mean   : 0.0000                Mean   : 0.0000               
##  3rd Qu.: 1.6995                3rd Qu.:-0.1275               
##  Max.   : 1.6995                Max.   : 7.8383               
##  Low.Price.Airline..LPA.AA Low.Price.Airline..LPA.AQ Low.Price.Airline..LPA.AS
##  Min.   :-0.3847           Min.   :-0.04474          Min.   :-0.1665          
##  1st Qu.:-0.3847           1st Qu.:-0.04474          1st Qu.:-0.1665          
##  Median :-0.3847           Median :-0.04474          Median :-0.1665          
##  Mean   : 0.0000           Mean   : 0.00000          Mean   : 0.0000          
##  3rd Qu.:-0.3847           3rd Qu.:-0.04474          3rd Qu.:-0.1665          
##  Max.   : 2.5971           Max.   :22.32714          Max.   : 6.0001          
##  Low.Price.Airline..LPA.AX Low.Price.Airline..LPA.B6 Low.Price.Airline..LPA.CO
##  Min.   :-0.05483          Min.   :-0.1233           Min.   :-0.217           
##  1st Qu.:-0.05483          1st Qu.:-0.1233           1st Qu.:-0.217           
##  Median :-0.05483          Median :-0.1233           Median :-0.217           
##  Mean   : 0.00000          Mean   : 0.0000           Mean   : 0.000           
##  3rd Qu.:-0.05483          3rd Qu.:-0.1233           3rd Qu.:-0.217           
##  Max.   :18.22089          Max.   : 8.0994           Max.   : 4.604           
##  Low.Price.Airline..LPA.DL Low.Price.Airline..LPA.F9 Low.Price.Airline..LPA.FL
##  Min.   :-0.4215           Min.   :-0.1758           Min.   :-0.2525          
##  1st Qu.:-0.4215           1st Qu.:-0.1758           1st Qu.:-0.2525          
##  Median :-0.4215           Median :-0.1758           Median :-0.2525          
##  Mean   : 0.0000           Mean   : 0.0000           Mean   : 0.0000          
##  3rd Qu.:-0.4215           3rd Qu.:-0.1758           3rd Qu.:-0.2525          
##  Max.   : 2.3700           Max.   : 5.6834           Max.   : 3.9561          
##  Low.Price.Airline..LPA.G4 Low.Price.Airline..LPA.HP Low.Price.Airline..LPA.NK
##  Min.   :-0.03162          Min.   :-0.248            Min.   :-0.1275          
##  1st Qu.:-0.03162          1st Qu.:-0.248            1st Qu.:-0.1275          
##  Median :-0.03162          Median :-0.248            Median :-0.1275          
##  Mean   : 0.00000          Mean   : 0.000            Mean   : 0.0000          
##  3rd Qu.:-0.03162          3rd Qu.:-0.248            3rd Qu.:-0.1275          
##  Max.   :31.59115          Max.   : 4.028            Max.   : 7.8383          
##  Low.Price.Airline..LPA.NW Low.Price.Airline..LPA.SY Low.Price.Airline..LPA.TZ
##  Min.   :-0.1846           Min.   :-0.08392          Min.   :-0.1875          
##  1st Qu.:-0.1846           1st Qu.:-0.08392          1st Qu.:-0.1875          
##  Median :-0.1846           Median :-0.08392          Median :-0.1875          
##  Mean   : 0.0000           Mean   : 0.00000          Mean   : 0.0000          
##  3rd Qu.:-0.1846           3rd Qu.:-0.08392          3rd Qu.:-0.1875          
##  Max.   : 5.4105           Max.   :11.90442          Max.   : 5.3276          
##  Low.Price.Airline..LPA.UA Low.Price.Airline..LPA.US Low.Price.Airline..LPA.WN
##  Min.   :-0.2411           Min.   :-0.335            Min.   :-0.5463          
##  1st Qu.:-0.2411           1st Qu.:-0.335            1st Qu.:-0.5463          
##  Median :-0.2411           Median :-0.335            Median :-0.5463          
##  Mean   : 0.0000           Mean   : 0.000            Mean   : 0.0000          
##  3rd Qu.:-0.2411           3rd Qu.:-0.335            3rd Qu.:-0.5463          
##  Max.   : 4.1430           Max.   : 2.982            Max.   : 1.8288          
##  Low.Price.Airline..LPA.YX
##  Min.   :-0.05483         
##  1st Qu.:-0.05483         
##  Median :-0.05483         
##  Mean   : 0.00000         
##  3rd Qu.:-0.05483         
##  Max.   :18.22089
#The variables were standardized to achieve mean centering and unit variance. 
#This was verified by examining the summary statistics, which showed that the mean was near 0 and the standard deviation was near 1. 
#This indicates that the variables are appropriately scaled for modeling.
#Multiple Linear Regression


#Data Partitioning for Model 1

set.seed(2345)
n1_mixed<-air1[order(runif(1000)),]
n1_train<-air1[1:700,] #70 percent of data used for training the model
n1_test<-air1[701:1000,] #remaining 30 percent of data is used for testing the model


#Model 1

n_full1 <- lm(Average.Flight.Fare~.,data = n1_train)

summary(n_full1)
## 
## Call:
## lm(formula = Average.Flight.Fare ~ ., data = n1_train)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.44400 -0.07015  0.00000  0.05745  0.58104 
## 
## Coefficients: (47 not defined because of singularities)
##                                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                     4.591e-02  4.491e-02   1.022 0.307115    
## Distance                        7.228e-02  1.237e-02   5.845 8.87e-09 ***
## Average.Weekly.Passengers      -2.352e-02  9.778e-03  -2.405 0.016515 *  
## Market.Share.MLA                3.958e-02  8.968e-03   4.414 1.23e-05 ***
## Average.MLA.Fare                7.958e-01  1.695e-02  46.957  < 2e-16 ***
## Market.Share.LPA               -2.456e-02  9.148e-03  -2.685 0.007491 ** 
## Average.LPA.Fare                1.446e-01  1.283e-02  11.271  < 2e-16 ***
## City1ABQ                       -2.132e-02  2.017e-02  -1.057 0.291041    
## City1ACY                       -2.346e-02  1.147e-02  -2.045 0.041332 *  
## City1ALB                       -1.888e-02  1.395e-02  -1.354 0.176371    
## City1AMA                       -1.413e-02  8.009e-03  -1.764 0.078337 .  
## City1ATL                       -4.966e-02  3.689e-02  -1.346 0.178855    
## City1AUS                       -1.783e-02  2.173e-02  -0.821 0.412250    
## City1BDL                       -2.097e-02  1.802e-02  -1.163 0.245235    
## City1BHM                       -1.160e-02  1.381e-02  -0.840 0.401530    
## City1BNA                               NA         NA      NA       NA    
## City1BOI                       -1.358e-02  1.409e-02  -0.964 0.335541    
## City1BOS                       -3.096e-02  2.914e-02  -1.063 0.288414    
## City1BTV                       -6.818e-03  6.867e-03  -0.993 0.321271    
## City1BUF                       -1.947e-02  1.459e-02  -1.335 0.182529    
## City1BUR                       -1.896e-02  1.574e-02  -1.204 0.228972    
## City1BWI                       -3.264e-02  3.222e-02  -1.013 0.311473    
## City1CAE                       -6.816e-03  6.194e-03  -1.100 0.271645    
## City1CAK                       -7.962e-03  9.501e-03  -0.838 0.402410    
## City1CHS                       -8.432e-03  6.195e-03  -1.361 0.174038    
## City1CLE                        3.173e-04  2.281e-02   0.014 0.988905    
## City1CLT                       -2.644e-02  2.053e-02  -1.288 0.198377    
## City1CMH                       -2.866e-02  2.015e-02  -1.423 0.155383    
## City1COS                       -6.340e-03  9.794e-03  -0.647 0.517694    
## City1CRP                       -1.206e-02  7.983e-03  -1.511 0.131353    
## City1CVG                       -1.142e-02  1.651e-02  -0.692 0.489550    
## City1DAY                       -1.315e-02  9.069e-03  -1.450 0.147512    
## City1DEN                       -1.252e-02  2.889e-02  -0.434 0.664811    
## City1DFW                       -2.618e-02  3.404e-02  -0.769 0.442065    
## City1DSM                       -7.918e-03  7.919e-03  -1.000 0.317839    
## City1DTW                       -1.386e-02  2.804e-02  -0.494 0.621267    
## City1ELP                       -1.700e-02  1.228e-02  -1.384 0.166890    
## City1EUG                       -6.375e-03  6.942e-03  -0.918 0.358838    
## City1FLL                       -3.778e-02  2.555e-02  -1.478 0.139882    
## City1FNT                       -8.334e-03  7.265e-03  -1.147 0.251854    
## City1GPT                       -5.251e-03  7.310e-03  -0.718 0.472840    
## City1GRR                       -2.030e-02  1.043e-02  -1.947 0.052051 .  
## City1GSO                       -1.437e-02  9.093e-03  -1.581 0.114589    
## City1GSP                        3.307e-04  6.323e-03   0.052 0.958317    
## City1HRL                       -1.246e-02  6.529e-03  -1.909 0.056833 .  
## City1IAD                               NA         NA      NA       NA    
## City1IAH                        8.298e-03  2.978e-02   0.279 0.780625    
## City1IND                       -2.370e-02  1.678e-02  -1.412 0.158481    
## City1ISP                               NA         NA      NA       NA    
## City1JAX                       -1.408e-02  1.306e-02  -1.078 0.281446    
## City1LAS                       -3.528e-02  2.892e-02  -1.220 0.223045    
## City1LAX                               NA         NA      NA       NA    
## City1LGA                               NA         NA      NA       NA    
## City1LGB                       -3.051e-02  1.280e-02  -2.383 0.017535 *  
## City1LIT                       -6.775e-03  6.523e-03  -1.039 0.299421    
## City1MCI                       -1.290e-02  2.267e-02  -0.569 0.569663    
## City1MCO                               NA         NA      NA       NA    
## City1MDT                       -1.002e-02  6.577e-03  -1.524 0.128198    
## City1MEM                               NA         NA      NA       NA    
## City1MHT                               NA         NA      NA       NA    
## City1MIA                               NA         NA      NA       NA    
## City1MKE                               NA         NA      NA       NA    
## City1MSN                               NA         NA      NA       NA    
## City1MSP                               NA         NA      NA       NA    
## City1MSY                               NA         NA      NA       NA    
## City1MYR                               NA         NA      NA       NA    
## City1OAK                               NA         NA      NA       NA    
## City1OKC                               NA         NA      NA       NA    
## City1OMA                               NA         NA      NA       NA    
## City1ONT                               NA         NA      NA       NA    
## City1ORD                       -1.231e-03  3.725e-02  -0.033 0.973641    
## City1ORF                               NA         NA      NA       NA    
## City1PDX                               NA         NA      NA       NA    
## City1PHF                               NA         NA      NA       NA    
## City1PHL                               NA         NA      NA       NA    
## City1PHX                               NA         NA      NA       NA    
## City1PIT                               NA         NA      NA       NA    
## City1PSP                       -1.227e-02  9.889e-03  -1.241 0.215248    
## City1PVD                               NA         NA      NA       NA    
## City1RDU                               NA         NA      NA       NA    
## City1RNO                               NA         NA      NA       NA    
## City1ROC                               NA         NA      NA       NA    
## City1RSW                       -2.656e-02  1.411e-02  -1.882 0.060439 .  
## City1SAN                               NA         NA      NA       NA    
## City1SAT                               NA         NA      NA       NA    
## City1SDF                               NA         NA      NA       NA    
## City1SEA                               NA         NA      NA       NA    
## City1SFO                               NA         NA      NA       NA    
## City1SJC                               NA         NA      NA       NA    
## City1SLC                               NA         NA      NA       NA    
## City1SMF                               NA         NA      NA       NA    
## City1SNA                               NA         NA      NA       NA    
## City1STL                               NA         NA      NA       NA    
## City1SYR                               NA         NA      NA       NA    
## City1TLH                               NA         NA      NA       NA    
## City1TPA                               NA         NA      NA       NA    
## City1TYS                               NA         NA      NA       NA    
## City2ATL                       -3.140e-04  6.194e-03  -0.051 0.959593    
## City2AUS                        1.170e-04  4.845e-03   0.024 0.980749    
## City2BDL                        3.176e-03  7.389e-03   0.430 0.667487    
## City2BHM                        2.531e-04  4.809e-03   0.053 0.958054    
## City2BNA                       -1.014e-02  9.380e-03  -1.081 0.280050    
## City2BOS                        5.655e-03  5.691e-03   0.994 0.320811    
## City2BUF                       -3.094e-03  5.155e-03  -0.600 0.548653    
## City2BWI                       -6.709e-04  5.895e-03  -0.114 0.909431    
## City2CLE                        1.531e-02  5.874e-03   2.606 0.009421 ** 
## City2CLT                        6.637e-03  5.842e-03   1.136 0.256389    
## City2CMH                        7.779e-03  5.953e-03   1.307 0.191880    
## City2CVG                        1.890e-02  5.726e-03   3.300 0.001032 ** 
## City2DAY                       -4.894e-03  5.867e-03  -0.834 0.404490    
## City2DEN                        8.777e-03  8.259e-03   1.063 0.288397    
## City2DFW                        9.122e-03  8.992e-03   1.014 0.310842    
## City2DSM                        6.468e-03  4.905e-03   1.319 0.187815    
## City2DTW                        4.032e-03  7.239e-03   0.557 0.577725    
## City2ELP                       -6.744e-03  5.503e-03  -1.226 0.220908    
## City2FLL                       -1.165e-03  8.483e-03  -0.137 0.890866    
## City2FNT                        1.936e-03  5.866e-03   0.330 0.741543    
## City2GEG                       -4.521e-03  1.119e-02  -0.404 0.686456    
## City2GPT                        4.649e-03  5.865e-03   0.793 0.428335    
## City2GSO                        4.693e-03  5.535e-03   0.848 0.396932    
## City2HPN                        1.088e-03  4.886e-03   0.223 0.823897    
## City2HRL                       -1.724e-03  4.859e-03  -0.355 0.722834    
## City2IAD                        1.626e-02  1.388e-02   1.171 0.242058    
## City2IAH                        2.131e-02  9.919e-03   2.149 0.032121 *  
## City2ICT                        5.466e-03  5.863e-03   0.932 0.351605    
## City2IND                       -1.242e-04  7.201e-03  -0.017 0.986242    
## City2ISP                       -5.729e-03  5.511e-03  -1.039 0.299079    
## City2JAN                       -4.939e-03  5.217e-03  -0.947 0.344269    
## City2JAX                       -4.118e-03  6.897e-03  -0.597 0.550757    
## City2LAS                       -8.819e-03  1.090e-02  -0.809 0.418726    
## City2LAX                        1.261e-03  1.110e-02   0.114 0.909636    
## City2LBB                       -9.044e-03  5.568e-03  -1.624 0.104936    
## City2LGA                        2.808e-02  1.543e-02   1.820 0.069377 .  
## City2LGB                       -4.468e-03  5.542e-03  -0.806 0.420562    
## City2LIT                       -8.113e-03  5.576e-03  -1.455 0.146247    
## City2MAF                       -6.399e-03  5.221e-03  -1.226 0.220890    
## City2MCI                       -3.406e-03  7.595e-03  -0.448 0.654049    
## City2MCO                        8.624e-05  1.353e-02   0.006 0.994917    
## City2MDT                        6.636e-03  4.906e-03   1.353 0.176730    
## City2MEM                        1.319e-03  7.072e-03   0.187 0.852076    
## City2MHT                       -9.846e-04  6.441e-03  -0.153 0.878570    
## City2MIA                        2.104e-04  7.905e-03   0.027 0.978776    
## City2MKE                        1.213e-02  8.781e-03   1.381 0.167762    
## City2MSP                        2.305e-02  1.246e-02   1.849 0.064943 .  
## City2MSY                       -5.863e-03  9.442e-03  -0.621 0.534884    
## City2OAK                        7.096e-03  9.236e-03   0.768 0.442676    
## City2OKC                       -5.120e-03  7.576e-03  -0.676 0.499485    
## City2OMA                        3.348e-03  7.251e-03   0.462 0.644457    
## City2ONT                        6.201e-03  7.835e-03   0.791 0.429042    
## City2ORD                        1.334e-02  7.429e-03   1.795 0.073179 .  
## City2ORF                        4.719e-03  7.042e-03   0.670 0.503035    
## City2PBI                       -8.773e-03  9.413e-03  -0.932 0.351799    
## City2PDX                        4.686e-03  1.042e-02   0.450 0.652970    
## City2PHF                        1.913e-03  5.858e-03   0.327 0.744161    
## City2PHL                        5.303e-04  1.119e-02   0.047 0.962230    
## City2PHX                       -1.258e-02  1.284e-02  -0.979 0.327851    
## City2PIT                        8.810e-03  1.073e-02   0.821 0.411951    
## City2PNS                       -2.020e-03  4.845e-03  -0.417 0.676957    
## City2PVD                        3.440e-04  8.666e-03   0.040 0.968348    
## City2PWM                               NA         NA      NA       NA    
## City2RDU                       -2.625e-03  1.052e-02  -0.250 0.803052    
## City2RIC                        1.332e-02  6.374e-03   2.089 0.037142 *  
## City2RNO                       -6.397e-03  8.642e-03  -0.740 0.459513    
## City2ROC                        2.048e-03  7.504e-03   0.273 0.785065    
## City2RSW                       -5.158e-03  7.461e-03  -0.691 0.489731    
## City2SAN                        4.064e-03  1.287e-02   0.316 0.752324    
## City2SAT                        1.830e-04  9.832e-03   0.019 0.985161    
## City2SAV                       -5.697e-03  6.869e-03  -0.829 0.407269    
## City2SDF                        4.324e-03  6.307e-03   0.686 0.493221    
## City2SEA                        1.425e-03  1.416e-02   0.101 0.919868    
## City2SFO                        3.000e-03  1.246e-02   0.241 0.809888    
## City2SJC                        7.418e-03  1.078e-02   0.688 0.491812    
## City2SLC                       -5.016e-04  1.055e-02  -0.048 0.962099    
## City2SMF                        5.028e-03  9.766e-03   0.515 0.606878    
## City2SNA                        1.361e-02  1.071e-02   1.271 0.204242    
## City2SRQ                       -9.520e-03  7.216e-03  -1.319 0.187624    
## City2STL                        5.679e-04  1.189e-02   0.048 0.961932    
## City2SYR                        1.553e-02  8.480e-03   1.831 0.067590 .  
## City2TLH                       -3.472e-03  6.848e-03  -0.507 0.612394    
## City2TPA                       -1.732e-03  1.416e-02  -0.122 0.902662    
## City2TUL                       -6.204e-03  7.052e-03  -0.880 0.379412    
## City2TUS                               NA         NA      NA       NA    
## Market.Leading.Airline..MLA.AA  5.090e-02  2.420e-02   2.104 0.035882 *  
## Market.Leading.Airline..MLA.AS  1.184e-02  1.849e-02   0.641 0.522122    
## Market.Leading.Airline..MLA.B6  3.100e-02  1.772e-02   1.750 0.080727 .  
## Market.Leading.Airline..MLA.CO -1.402e-02  1.913e-02  -0.733 0.463867    
## Market.Leading.Airline..MLA.DL  6.440e-02  2.602e-02   2.475 0.013642 *  
## Market.Leading.Airline..MLA.F9  2.300e-02  6.094e-03   3.774 0.000179 ***
## Market.Leading.Airline..MLA.FL  1.393e-02  1.530e-02   0.911 0.362902    
## Market.Leading.Airline..MLA.G4  1.724e-02  7.450e-03   2.314 0.021053 *  
## Market.Leading.Airline..MLA.HP  1.381e-02  1.329e-02   1.039 0.299143    
## Market.Leading.Airline..MLA.NK  3.180e-02  1.141e-02   2.786 0.005520 ** 
## Market.Leading.Airline..MLA.NW  3.046e-02  2.275e-02   1.339 0.181194    
## Market.Leading.Airline..MLA.TZ  2.757e-02  8.847e-03   3.116 0.001933 ** 
## Market.Leading.Airline..MLA.UA -1.269e-02  2.110e-02  -0.601 0.547850    
## Market.Leading.Airline..MLA.US  4.758e-02  1.983e-02   2.399 0.016781 *  
## Market.Leading.Airline..MLA.WN  4.486e-02  3.043e-02   1.474 0.140953    
## Market.Leading.Airline..MLA.YX         NA         NA      NA       NA    
## Low.Price.Airline..LPA.AA      -6.943e-03  5.215e-02  -0.133 0.894139    
## Low.Price.Airline..LPA.AQ      -3.845e-03  8.453e-03  -0.455 0.649372    
## Low.Price.Airline..LPA.AS       1.296e-02  2.803e-02   0.462 0.644114    
## Low.Price.Airline..LPA.AX       1.127e-02  9.945e-03   1.134 0.257484    
## Low.Price.Airline..LPA.B6      -1.291e-02  2.521e-02  -0.512 0.608749    
## Low.Price.Airline..LPA.CO       5.629e-03  3.268e-02   0.172 0.863300    
## Low.Price.Airline..LPA.DL      -4.262e-03  5.560e-02  -0.077 0.938924    
## Low.Price.Airline..LPA.F9      -6.236e-03  2.645e-02  -0.236 0.813675    
## Low.Price.Airline..LPA.FL      -1.685e-02  3.731e-02  -0.452 0.651773    
## Low.Price.Airline..LPA.G4              NA         NA      NA       NA    
## Low.Price.Airline..LPA.HP      -8.212e-03  3.666e-02  -0.224 0.822820    
## Low.Price.Airline..LPA.NK      -1.424e-02  2.062e-02  -0.690 0.490213    
## Low.Price.Airline..LPA.NW      -2.981e-04  2.804e-02  -0.011 0.991523    
## Low.Price.Airline..LPA.SY      -1.700e-02  1.588e-02  -1.070 0.284901    
## Low.Price.Airline..LPA.TZ      -2.109e-03  2.895e-02  -0.073 0.941953    
## Low.Price.Airline..LPA.UA      -7.534e-03  3.589e-02  -0.210 0.833803    
## Low.Price.Airline..LPA.US       1.024e-02  4.709e-02   0.217 0.827930    
## Low.Price.Airline..LPA.WN      -1.279e-02  6.565e-02  -0.195 0.845554    
## Low.Price.Airline..LPA.YX              NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1384 on 530 degrees of freedom
## Multiple R-squared:  0.9838, Adjusted R-squared:  0.9786 
## F-statistic: 189.9 on 169 and 530 DF,  p-value: < 2.2e-16
# Predict and evaluate on test data
model1_pred <- predict(n_full1, newdata = n1_test)
## Warning in predict.lm(n_full1, newdata = n1_test): prediction from
## rank-deficient fit; attr(*, "non-estim") has doubtful cases
model1_pred
##          701          702          703          704          705          706 
## -0.700786781 -0.066990980 -0.519215287 -0.300738817 -1.686241816 -0.407644286 
##          707          708          709          710          711          712 
## -0.381787369  0.277006188  1.870783673  2.889046391  0.684393858  1.149603212 
##          713          714          715          716          717          718 
##  0.295150663  0.319062199  3.455745094  0.877543466 -1.386472935  0.346746627 
##          719          720          721          722          723          724 
## -0.079696373  1.311302716  1.504530314 -1.561690488  1.541446774 -0.522714693 
##          725          726          727          728          729          730 
##  0.214919068  0.547906559 -1.096996526 -1.272727963  1.043846743 -1.201759790 
##          731          732          733          734          735          736 
##  0.054683641 -0.880005120 -1.334730884 -0.256424646 -0.406441206  0.916157891 
##          737          738          739          740          741          742 
## -1.330424885  4.026276522  1.070776902 -0.496317531 -1.478950326 -0.553017011 
##          743          744          745          746          747          748 
## -0.358615541 -0.392980750  0.031017199 -0.272190899  1.448393453  0.801919486 
##          749          750          751          752          753          754 
##  0.091285174  0.526007066  0.002703601  0.795025265  1.124080355  0.184380836 
##          755          756          757          758          759          760 
##  0.126141233  0.327944229  0.230407744  0.260763849 -0.223286926  0.818455512 
##          761          762          763          764          765          766 
##  3.389240692  1.214230075 -0.927055640 -1.536322507  1.007274840  0.520593932 
##          767          768          769          770          771          772 
##  0.682006124 -0.560842851  0.007335849  0.475472807 -0.780447843  0.025948299 
##          773          774          775          776          777          778 
##  0.846556044  1.008718128  2.507448525  0.789983995  0.463310277  1.326855372 
##          779          780          781          782          783          784 
##  0.036312399  1.098592373  0.641378278  1.029667488  1.087160175  0.861039283 
##          785          786          787          788          789          790 
##  0.650284022  0.722914437  1.398262049  1.201275400  1.707652598  0.867918278 
##          791          792          793          794          795          796 
##  0.544125141  1.411492016 -0.647509022 -1.273086082  1.008639245 -0.603726781 
##          797          798          799          800          801          802 
##  1.181327217  0.273549475 -0.239370571 -1.073060133 -0.321314891  0.189509333 
##          803          804          805          806          807          808 
##  0.158780241 -0.525161201  0.393936144  0.366142343 -0.896789249  0.102991057 
##          809          810          811          812          813          814 
##  0.138178970 -0.063312198 -0.792076537 -0.100776283  0.184625791 -0.567447094 
##          815          816          817          818          819          820 
##  0.086524504  1.278408097  0.044754724 -0.931261656  0.663441040 -1.050037271 
##          821          822          823          824          825          826 
##  0.630285226  1.028697835  0.486703713  0.645959311 -0.768915155  1.115070959 
##          827          828          829          830          831          832 
##  0.343426738 -0.201422899  1.242895134 -0.136186971  1.030553492 -1.194425317 
##          833          834          835          836          837          838 
##  1.847335547  0.800221261  0.991446656  2.244848478  2.852790691  3.411877757 
##          839          840          841          842          843          844 
##  1.339745917  2.717634551 -0.117642409 -0.227438882  1.592322042 -0.928169449 
##          845          846          847          848          849          850 
## -0.596216029  1.581156258 -0.821859886 -0.410540045 -1.087315250  0.926507788 
##          851          852          853          854          855          856 
## -0.831949837 -1.348553171  0.729196389 -0.829348179 -0.919563532 -1.484591267 
##          857          858          859          860          861          862 
## -0.822731331 -1.197590537 -1.075859400 -0.915461959 -0.855143317 -0.269073488 
##          863          864          865          866          867          868 
##  0.275430286  0.049046797 -1.398171396 -0.492246804 -0.390184151 -1.597017226 
##          869          870          871          872          873          874 
##  0.457906558  0.670865118 -1.504481528 -0.375480672 -0.947735686 -1.266015659 
##          875          876          877          878          879          880 
## -0.767974560 -1.242016375 -0.182939393 -0.421363420  0.166717394 -0.243248739 
##          881          882          883          884          885          886 
##  0.402331238 -0.387090433 -0.658623333 -0.603909377  0.464150616 -0.061944530 
##          887          888          889          890          891          892 
##  0.979892952 -0.169606179  0.276316293  2.278303159  0.570322636  0.395412161 
##          893          894          895          896          897          898 
## -0.089142351 -0.326823479  0.802499266  0.462209625  0.170490972  1.437014837 
##          899          900          901          902          903          904 
##  1.227487832  2.259797790  1.883688893  2.013923959  2.010529430 -0.300301261 
##          905          906          907          908          909          910 
## -0.194544208  1.165862487 -0.459155537  0.280243067  0.150307579 -0.940415252 
##          911          912          913          914          915          916 
## -0.749202279 -0.139472013 -0.892578200 -0.265281447 -1.466078253 -0.575670451 
##          917          918          919          920          921          922 
## -0.771015277 -1.106862075 -0.455410843 -0.341278970  0.163216492  0.030915821 
##          923          924          925          926          927          928 
##  1.585453155  1.992514873 -0.265021859 -0.241942588 -1.368404981 -1.218778241 
##          929          930          931          932          933          934 
##  0.580217785 -0.667739208 -0.214879344 -0.803061650 -1.006378027 -0.272879952 
##          935          936          937          938          939          940 
## -0.366538507 -1.564450772  2.465939852 -0.603509020  0.531240198 -0.329446125 
##          941          942          943          944          945          946 
##  0.370913278 -0.274989315  0.131114573  0.083100097  1.100399122  0.094372004 
##          947          948          949          950          951          952 
## -1.009015017 -0.799590852 -1.382339947 -1.178915375 -0.399221916  0.867469605 
##          953          954          955          956          957          958 
## -0.525943095 -1.250952302 -1.069505796 -0.801421275 -0.662807358  0.180230527 
##          959          960          961          962          963          964 
##  0.217444744  0.573621353  1.001830244  1.425846643  1.090839575 -0.004952872 
##          965          966          967          968          969          970 
## -1.470134654  0.692577824 -0.504887051 -0.134786076 -0.058941700 -0.708570894 
##          971          972          973          974          975          976 
## -0.679254276 -0.937352573  2.044606500  0.202761372  0.316365808  0.746816392 
##          977          978          979          980          981          982 
## -0.680694001 -1.176607216 -0.035937555  0.381114114 -1.356414310  3.935276827 
##          983          984          985          986          987          988 
## -0.400727158 -0.685389312  1.756571403  4.468743749 -1.277833807 -0.835578019 
##          989          990          991          992          993          994 
## -0.166588577  3.352249920 -0.097710902 -1.507641138  0.057505626 -0.366592897 
##          995          996          997          998          999         1000 
##  2.662631966 -0.297488108 -1.253150621  0.207147114 -1.433092483 -0.426918068 
## attr(,"non-estim")
##  703  704  705  706  707  708  709  710  711  712  713  714  715  716  717  718 
##    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18 
##  719  720  721  722  723  724  725  726  727  728  729  730  731  732  733  734 
##   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34 
##  735  736  737  738  739  740  741  742  743  744  745  746  747  748  749  750 
##   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50 
##  751  752  753  754  755  756  757  758  759  760  761  762  763  764  765  766 
##   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66 
##  767  768  769  770  771  772  773  774  775  776  777  778  779  780  781  782 
##   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82 
##  783  784  785  786  787  788  789  790  791  792  793  794  795  796  797  798 
##   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98 
##  799  800  801  802  803  804  805  806  807  808  809  810  811  812  813  814 
##   99  100  101  102  103  104  105  106  107  108  109  110  111  112  113  114 
##  815  816  817  818  819  820  821  822  823  824  825  826  827  828  829  830 
##  115  116  117  118  119  120  121  122  123  124  125  126  127  128  129  130 
##  831  832  833  834  835  836  837  838  839  840  841  842  843  844  845  846 
##  131  132  133  134  135  136  137  138  139  140  141  142  143  144  145  146 
##  847  848  849  850  851  852  853  854  855  856  857  858  859  860  861  862 
##  147  148  149  150  151  152  153  154  155  156  157  158  159  160  161  162 
##  863  864  865  866  867  868  869  870  871  872  873  874  875  876  877  878 
##  163  164  165  166  167  168  169  170  171  172  173  174  175  176  177  178 
##  879  880  881  882  883  884  885  886  887  888  889  890  891  892  893  894 
##  179  180  181  182  183  184  185  186  187  188  189  190  191  192  193  194 
##  895  896  897  898  899  900  901  902  903  904  905  906  907  908  909  910 
##  195  196  197  198  199  200  201  202  203  204  205  206  207  208  209  210 
##  911  912  913  914  915  916  917  918  919  920  921  922  923  924  925  926 
##  211  212  213  214  215  216  217  218  219  220  221  222  223  224  225  226 
##  927  928  929  930  931  932  933  934  935  936  937  938  939  940  941  942 
##  227  228  229  230  231  232  233  234  235  236  237  238  239  240  241  242 
##  943  944  945  946  947  948  949  950  951  952  953  954  955  956  957  958 
##  243  244  245  246  247  248  249  250  251  252  253  254  255  256  257  258 
##  959  960  961  962  963  964  965  966  967  968  969  970  971  972  973  974 
##  259  260  261  262  263  264  265  266  267  268  269  270  271  272  273  274 
##  975  976  977  978  979  980  981  982  983  984  985  986  987  988  989  990 
##  275  276  277  278  279  280  281  282  283  284  285  286  287  288  289  290 
##  991  992  993  994  995  996  997  998  999 1000 
##  291  292  293  294  295  296  297  298  299  300
# Calculate performance metrics
n_full1_r2 <- summary(n_full1)$r.squared
model1_test_r2 <- cor(n1_test$Average.Flight.Fare, model1_pred)^2
#Model 2

#Data Partitioning for Model 2

set.seed(2345)
n_mixed<-air[order(runif(1000)),]
n_train<-air[1:700,] #70 percent of data used for training the model
n_test<-air[701:1000,] #remaining 30 percent of data is used for testing the model




#Model 2

n_full <- lm(Average.Flight.Fare~.,data = n_train)

summary(n_full)
## 
## Call:
## lm(formula = Average.Flight.Fare ~ ., data = n_train)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.73500 -0.08710 -0.02160  0.07411  0.71608 
## 
## Coefficients:
##                            Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                0.002721   0.006044   0.450 0.652702    
## Distance                   0.031665   0.008500   3.725 0.000211 ***
## Average.Weekly.Passengers -0.030405   0.006102  -4.983 7.91e-07 ***
## Market.Share.MLA           0.026191   0.007404   3.537 0.000431 ***
## Average.MLA.Fare           0.843170   0.013146  64.141  < 2e-16 ***
## Market.Share.LPA          -0.017540   0.007773  -2.257 0.024340 *  
## Average.LPA.Fare           0.154518   0.011965  12.914  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1594 on 693 degrees of freedom
## Multiple R-squared:  0.9732, Adjusted R-squared:  0.973 
## F-statistic:  4195 on 6 and 693 DF,  p-value: < 2.2e-16
# Predict and evaluate on test data
model2_pred <- predict(n_full, newdata = n_test)


model2_pred
##          759          760          761          762          763          764 
## -0.393716732  0.672589234  3.353043107  0.908080775 -1.050687103 -1.680651088 
##          765          766          767          768          769          770 
##  0.783503738  0.269233639  0.534097604 -0.603832846 -0.091164574  0.431484738 
##          771          772          773          774          776          777 
## -0.920636060 -0.033335246  0.856898255  1.032443358  0.590621156  0.269613999 
##          778          779          780          781          782          783 
##  1.204256516  0.078399973  0.925450982  0.651794489  0.912803449  0.958318547 
##          784          785          786          787          788          789 
##  0.774163629  0.554432331  0.743412747  1.260108955  1.048374241  1.551634541 
##          790          791          792          793          794          795 
##  0.917330238  0.456648454  1.169745267 -1.097484484 -1.439886810  0.743072490 
##          796          797          798          799          800          801 
## -0.769316637  1.050760371  0.167335751 -0.474678047 -1.250353288 -0.495769852 
##          802          803          804          805          806          807 
## -0.033541569 -0.045704785 -0.676029505  0.327656022  0.147202408 -1.134045323 
##          808          809          810          811          812          813 
## -0.199226300  0.010968319 -0.375972155 -1.036052528 -0.167362222  0.034502523 
##          814          815          816          817          818          819 
## -0.783077379 -0.091445893  1.313945470  0.006014163 -1.113018235  0.401270507 
##          820          822          823          824          827          828 
## -1.342883667  0.973465378  0.481626212  0.195334652 -0.009310875 -0.367635715 
##          829          830          831          832          833          834 
##  1.182831111 -0.353343166  0.958729933 -1.532639174  1.863099071  0.546501182 
##          835          836          837          839          840          841 
##  0.841262289  2.397372444  2.965294852  1.085010108  2.747577729  0.114547029 
##          842          844          846          849          850          851 
## -0.378577435 -1.481731320  1.440371315 -1.289029823  0.666903448 -1.080778682 
##          853          854          855          856          857          861 
##  0.673095980 -0.991534337 -1.291624812 -1.622543424 -1.018666801 -0.986636327 
##          862          863          864          865          866          867 
## -0.397735441 -0.147241942 -0.027583590 -1.593988355 -0.770506874 -0.458217947 
##          868          869          870          871          872          873 
## -1.806826734  0.360151887  0.447148974 -1.688346237 -0.653481262 -1.075263598 
##          875          876          877          879          880          881 
## -1.025201392 -1.534931780 -0.439285640  0.071259400 -0.648546220  0.095994289 
##          882          883          884          885          886          887 
## -0.624418638 -0.884424343 -0.772154812  0.167150258 -0.259606537  0.772546963 
##          888          889          890          891          892          893 
## -0.306929062 -0.007899942  2.346748178  0.285568688  0.096120088 -0.634377322 
##          894          895          896          897          898          899 
## -0.709910974  0.564522238  0.150535386 -0.053921642  1.329802980  1.118796466 
##          900          901          902          903          904          905 
##  2.082943864  1.583481089  1.823814556  1.778661264 -0.652656736 -0.442153795 
##          906          907          908          909          910          911 
##  0.910387280 -0.776976749 -0.008543678  0.009148733 -1.042867706 -0.992993794 
##          912          913          914          916          917          918 
## -0.313405488 -1.097529200 -0.401780098 -0.742741955 -1.053811794 -1.414305826 
##          920          921          922          923          924          925 
## -0.548037889  0.006768294 -0.047312549  1.456611839  1.809885039 -0.576652884 
##          926          927          928          929          930          931 
## -0.465110643 -1.518703274 -1.493970704  0.381233011 -0.929556270 -0.389196775 
##          932          933          934          935          936          937 
## -0.974170129 -1.264746994 -0.561371032 -0.571049985 -1.728627463  2.494424882 
##          938          939          940          941          942          943 
## -0.745314466  0.316216707 -0.596245334  0.049400836 -0.369011522 -0.033149946 
##          944          945          946          947          948          949 
## -0.147100402  0.861759536 -0.208377058 -1.191498665 -1.009299180 -1.642646136 
##          950          951          952          953          955          956 
## -1.478556609 -0.646201637  0.699916653 -0.765566515 -1.404183508 -1.094391262 
##          957          958          959          960          961          962 
## -0.874107109  0.012174193  0.057602560  0.355313167  0.725902456  1.187825333 
##          963          964          965          966          967          968 
##  0.914428904 -0.181624104 -1.579245867  0.369868880 -0.786294392 -0.352712470 
##          969          970          971          972          973          974 
## -0.317975543 -1.096733525 -0.965810072 -1.146816553  1.832147962  0.040477056 
##          975          976          977          979          980          981 
##  0.115007272  0.471160445 -0.779013736 -0.322095907  0.154859380 -1.573008309 
##          982          983          985          986          988          989 
##  4.080215674 -0.511316062  1.566387568  4.584888713 -1.065703844 -0.357779633 
##          990          991          992          993          994          995 
##  3.449978725 -0.313601230 -1.691832009 -0.241299405 -0.627733459  2.579522597 
##          996          997          998          999         1000           NA 
## -0.539143186 -1.394381040 -0.125798970 -1.549099478 -0.622923767           NA 
##         NA.1         NA.2         NA.3         NA.4         NA.5         NA.6 
##           NA           NA           NA           NA           NA           NA 
##         NA.7         NA.8         NA.9        NA.10        NA.11        NA.12 
##           NA           NA           NA           NA           NA           NA 
##        NA.13        NA.14        NA.15        NA.16        NA.17        NA.18 
##           NA           NA           NA           NA           NA           NA 
##        NA.19        NA.20        NA.21        NA.22        NA.23        NA.24 
##           NA           NA           NA           NA           NA           NA 
##        NA.25        NA.26        NA.27        NA.28        NA.29        NA.30 
##           NA           NA           NA           NA           NA           NA 
##        NA.31        NA.32        NA.33        NA.34        NA.35        NA.36 
##           NA           NA           NA           NA           NA           NA 
##        NA.37        NA.38        NA.39        NA.40        NA.41        NA.42 
##           NA           NA           NA           NA           NA           NA 
##        NA.43        NA.44        NA.45        NA.46        NA.47        NA.48 
##           NA           NA           NA           NA           NA           NA 
##        NA.49        NA.50        NA.51        NA.52        NA.53        NA.54 
##           NA           NA           NA           NA           NA           NA 
##        NA.55        NA.56        NA.57        NA.58        NA.59        NA.60 
##           NA           NA           NA           NA           NA           NA 
##        NA.61        NA.62        NA.63        NA.64        NA.65        NA.66 
##           NA           NA           NA           NA           NA           NA 
##        NA.67        NA.68        NA.69        NA.70        NA.71        NA.72 
##           NA           NA           NA           NA           NA           NA 
##        NA.73        NA.74        NA.75        NA.76        NA.77        NA.78 
##           NA           NA           NA           NA           NA           NA
# Calculate performance metrics
n_full_r2 <- summary(n_full)$r.squared
model_test_r2 <- cor(n_test$Average.Flight.Fare, model2_pred)^2
# Compare R-squared values
cat("Model 1 - Train R2:", n_full1_r2, "Test R2:", model1_test_r2, "\n")
## Model 1 - Train R2: 0.983757 Test R2: 0.9780876
cat("Model 2 - Train R2:", n_full_r2, "Test R2:", model_test_r2, "\n")
## Model 2 - Train R2: 0.9732025 Test R2: NA
# Load necessary libraries for ridge and lasso regression


library(glmnet)
## Loading required package: Matrix
## Loaded glmnet 4.1-8
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
###Ridge Regression


#Ridge Regression for Model 1

names(air1)
##   [1] "Average.Flight.Fare"            "Distance"                      
##   [3] "Average.Weekly.Passengers"      "Market.Share.MLA"              
##   [5] "Average.MLA.Fare"               "Market.Share.LPA"              
##   [7] "Average.LPA.Fare"               "City1ABQ"                      
##   [9] "City1ACY"                       "City1ALB"                      
##  [11] "City1AMA"                       "City1ATL"                      
##  [13] "City1AUS"                       "City1BDL"                      
##  [15] "City1BHM"                       "City1BNA"                      
##  [17] "City1BOI"                       "City1BOS"                      
##  [19] "City1BTV"                       "City1BUF"                      
##  [21] "City1BUR"                       "City1BWI"                      
##  [23] "City1CAE"                       "City1CAK"                      
##  [25] "City1CHS"                       "City1CLE"                      
##  [27] "City1CLT"                       "City1CMH"                      
##  [29] "City1COS"                       "City1CRP"                      
##  [31] "City1CVG"                       "City1DAY"                      
##  [33] "City1DEN"                       "City1DFW"                      
##  [35] "City1DSM"                       "City1DTW"                      
##  [37] "City1ELP"                       "City1EUG"                      
##  [39] "City1FLL"                       "City1FNT"                      
##  [41] "City1GPT"                       "City1GRR"                      
##  [43] "City1GSO"                       "City1GSP"                      
##  [45] "City1HRL"                       "City1IAD"                      
##  [47] "City1IAH"                       "City1IND"                      
##  [49] "City1ISP"                       "City1JAX"                      
##  [51] "City1LAS"                       "City1LAX"                      
##  [53] "City1LGA"                       "City1LGB"                      
##  [55] "City1LIT"                       "City1MCI"                      
##  [57] "City1MCO"                       "City1MDT"                      
##  [59] "City1MEM"                       "City1MHT"                      
##  [61] "City1MIA"                       "City1MKE"                      
##  [63] "City1MSN"                       "City1MSP"                      
##  [65] "City1MSY"                       "City1MYR"                      
##  [67] "City1OAK"                       "City1OKC"                      
##  [69] "City1OMA"                       "City1ONT"                      
##  [71] "City1ORD"                       "City1ORF"                      
##  [73] "City1PDX"                       "City1PHF"                      
##  [75] "City1PHL"                       "City1PHX"                      
##  [77] "City1PIT"                       "City1PSP"                      
##  [79] "City1PVD"                       "City1RDU"                      
##  [81] "City1RNO"                       "City1ROC"                      
##  [83] "City1RSW"                       "City1SAN"                      
##  [85] "City1SAT"                       "City1SDF"                      
##  [87] "City1SEA"                       "City1SFO"                      
##  [89] "City1SJC"                       "City1SLC"                      
##  [91] "City1SMF"                       "City1SNA"                      
##  [93] "City1STL"                       "City1SYR"                      
##  [95] "City1TLH"                       "City1TPA"                      
##  [97] "City1TYS"                       "City2ATL"                      
##  [99] "City2AUS"                       "City2BDL"                      
## [101] "City2BHM"                       "City2BNA"                      
## [103] "City2BOS"                       "City2BUF"                      
## [105] "City2BWI"                       "City2CLE"                      
## [107] "City2CLT"                       "City2CMH"                      
## [109] "City2CVG"                       "City2DAY"                      
## [111] "City2DEN"                       "City2DFW"                      
## [113] "City2DSM"                       "City2DTW"                      
## [115] "City2ELP"                       "City2FLL"                      
## [117] "City2FNT"                       "City2GEG"                      
## [119] "City2GPT"                       "City2GSO"                      
## [121] "City2HPN"                       "City2HRL"                      
## [123] "City2IAD"                       "City2IAH"                      
## [125] "City2ICT"                       "City2IND"                      
## [127] "City2ISP"                       "City2JAN"                      
## [129] "City2JAX"                       "City2LAS"                      
## [131] "City2LAX"                       "City2LBB"                      
## [133] "City2LGA"                       "City2LGB"                      
## [135] "City2LIT"                       "City2MAF"                      
## [137] "City2MCI"                       "City2MCO"                      
## [139] "City2MDT"                       "City2MEM"                      
## [141] "City2MHT"                       "City2MIA"                      
## [143] "City2MKE"                       "City2MSP"                      
## [145] "City2MSY"                       "City2OAK"                      
## [147] "City2OKC"                       "City2OMA"                      
## [149] "City2ONT"                       "City2ORD"                      
## [151] "City2ORF"                       "City2PBI"                      
## [153] "City2PDX"                       "City2PHF"                      
## [155] "City2PHL"                       "City2PHX"                      
## [157] "City2PIT"                       "City2PNS"                      
## [159] "City2PVD"                       "City2PWM"                      
## [161] "City2RDU"                       "City2RIC"                      
## [163] "City2RNO"                       "City2ROC"                      
## [165] "City2RSW"                       "City2SAN"                      
## [167] "City2SAT"                       "City2SAV"                      
## [169] "City2SDF"                       "City2SEA"                      
## [171] "City2SFO"                       "City2SJC"                      
## [173] "City2SLC"                       "City2SMF"                      
## [175] "City2SNA"                       "City2SRQ"                      
## [177] "City2STL"                       "City2SYR"                      
## [179] "City2TLH"                       "City2TPA"                      
## [181] "City2TUL"                       "City2TUS"                      
## [183] "Market.Leading.Airline..MLA.AA" "Market.Leading.Airline..MLA.AS"
## [185] "Market.Leading.Airline..MLA.B6" "Market.Leading.Airline..MLA.CO"
## [187] "Market.Leading.Airline..MLA.DL" "Market.Leading.Airline..MLA.F9"
## [189] "Market.Leading.Airline..MLA.FL" "Market.Leading.Airline..MLA.G4"
## [191] "Market.Leading.Airline..MLA.HP" "Market.Leading.Airline..MLA.NK"
## [193] "Market.Leading.Airline..MLA.NW" "Market.Leading.Airline..MLA.TZ"
## [195] "Market.Leading.Airline..MLA.UA" "Market.Leading.Airline..MLA.US"
## [197] "Market.Leading.Airline..MLA.WN" "Market.Leading.Airline..MLA.YX"
## [199] "Low.Price.Airline..LPA.AA"      "Low.Price.Airline..LPA.AQ"     
## [201] "Low.Price.Airline..LPA.AS"      "Low.Price.Airline..LPA.AX"     
## [203] "Low.Price.Airline..LPA.B6"      "Low.Price.Airline..LPA.CO"     
## [205] "Low.Price.Airline..LPA.DL"      "Low.Price.Airline..LPA.F9"     
## [207] "Low.Price.Airline..LPA.FL"      "Low.Price.Airline..LPA.G4"     
## [209] "Low.Price.Airline..LPA.HP"      "Low.Price.Airline..LPA.NK"     
## [211] "Low.Price.Airline..LPA.NW"      "Low.Price.Airline..LPA.SY"     
## [213] "Low.Price.Airline..LPA.TZ"      "Low.Price.Airline..LPA.UA"     
## [215] "Low.Price.Airline..LPA.US"      "Low.Price.Airline..LPA.WN"     
## [217] "Low.Price.Airline..LPA.YX"
# View the first few rows of the dataset
head(air1)
##   Average.Flight.Fare   Distance Average.Weekly.Passengers Market.Share.MLA
## 1         -0.88331987 -0.8224041               -0.32317406        0.5194922
## 2         -0.73882548 -0.3062376               -0.51588938        0.7730061
## 3          0.92195695 -0.3186753               -0.59557426        0.9686919
## 4         -1.69736515 -1.1955366               -0.08537182        1.9022011
## 5         -0.09474172 -0.5192340               -0.46866290       -1.0501251
## 6         -0.50944063  0.2285856               -0.61741325       -1.0041725
##   Average.MLA.Fare Market.Share.LPA Average.LPA.Fare   City1ABQ    City1ACY
## 1      -0.88760670        1.3152202      -0.68100033 -0.1353204 -0.06334073
## 2      -0.69513984       -0.6392398      -0.51351914 -0.1353204 -0.06334073
## 3       0.91497465       -1.1728782       0.50661281 -0.1353204 -0.06334073
## 4      -1.56060232        2.3035215      -1.57388045 -0.1353204 -0.06334073
## 5      -0.08438475       -0.7089892       0.04715114 -0.1353204 -0.06334073
## 6      -0.45766830       -0.6444064      -0.32825233 -0.1353204 -0.06334073
##      City1ALB    City1AMA   City1ATL   City1AUS   City1BDL    City1BHM
## 1 -0.08975774 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
## 2 -0.08975774 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
## 3 11.12995957 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
## 4 11.12995957 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
## 5 11.12995957 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
## 6 11.12995957 -0.04474376 -0.2613574 -0.1463865 -0.1190991 -0.08975774
##     City1BNA    City1BOI   City1BOS    City1BTV    City1BUF   City1BUR
## 1 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
## 2 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
## 3 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
## 4 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
## 5 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
## 6 -0.1054098 -0.08975774 -0.1986493 -0.03162278 -0.09525048 -0.1004535
##     City1BWI    City1CAE    City1CAK    City1CHS   City1CLE   City1CLT
## 1 -0.2219654 -0.03162278 22.32713596 -0.03162278 -0.1499079 -0.1353204
## 2 -0.2219654 -0.03162278 22.32713596 -0.03162278 -0.1499079 -0.1353204
## 3 -0.2219654 -0.03162278 -0.04474376 -0.03162278 -0.1499079 -0.1353204
## 4 -0.2219654 -0.03162278 -0.04474376 -0.03162278 -0.1499079 -0.1353204
## 5 -0.2219654 -0.03162278 -0.04474376 -0.03162278 -0.1499079 -0.1353204
## 6 -0.2219654 -0.03162278 -0.04474376 -0.03162278 -0.1499079 -0.1353204
##     City1CMH    City1COS    City1CRP   City1CVG    City1DAY   City1DEN
## 1 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
## 2 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
## 3 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
## 4 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
## 5 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
## 6 -0.1353204 -0.05482717 -0.04474376 -0.1101526 -0.05482717 -0.1931503
##     City1DFW    City1DSM   City1DTW    City1ELP    City1EUG   City1FLL
## 1 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
## 2 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
## 3 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
## 4 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
## 5 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
## 6 -0.2340886 -0.04474376 -0.1846403 -0.07765424 -0.03162278 -0.1727317
##      City1FNT    City1GPT    City1GRR    City1GSO    City1GSP    City1HRL
## 1 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
## 2 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
## 3 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
## 4 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
## 5 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
## 6 -0.03162278 -0.03162278 -0.06334073 -0.05482717 -0.03162278 -0.03162278
##      City1IAD   City1IAH   City1IND    City1ISP    City1JAX   City1LAS
## 1 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
## 2 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
## 3 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
## 4 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
## 5 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
## 6 -0.03162278 -0.1986493 -0.1101526 -0.07085267 -0.08391839 -0.1959163
##     City1LAX   City1LGA    City1LGB    City1LIT   City1MCI   City1MCO
## 1 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
## 2 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
## 3 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
## 4 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
## 5 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
## 6 -0.1787729 -0.1696401 -0.06334073 -0.03162278 -0.1533555 -0.1314409
##      City1MDT    City1MEM    City1MHT   City1MIA    City1MKE    City1MSN
## 1 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
## 2 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
## 3 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
## 4 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
## 5 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
## 6 -0.03162278 -0.07765424 -0.05482717 -0.1147086 -0.08391839 -0.03162278
##     City1MSP   City1MSY    City1MYR   City1OAK    City1OKC    City1OMA
## 1 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
## 2 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
## 3 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
## 4 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
## 5 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
## 6 -0.1427857 -0.1233418 -0.03162278 -0.1101526 -0.04474376 -0.06334073
##      City1ONT   City1ORD    City1ORF   City1PDX    City1PHF   City1PHL
## 1 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
## 2 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
## 3 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
## 4 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
## 5 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
## 6 -0.08975774 -0.2591691 -0.05482717 -0.1054098 -0.03162278 -0.1054098
##     City1PHX    City1PIT    City1PSP    City1PVD    City1RDU    City1RNO
## 1 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
## 2 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
## 3 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
## 4 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
## 5 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
## 6 -0.1353204 -0.05482717 -0.05482717 -0.07085267 -0.07085267 -0.05482717
##      City1ROC    City1RSW    City1SAN    City1SAT    City1SDF    City1SEA
## 1 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
## 2 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
## 3 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
## 4 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
## 5 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
## 6 -0.03162278 -0.08975774 -0.07765424 -0.05482717 -0.06334073 -0.06334073
##      City1SFO    City1SJC    City1SLC    City1SMF    City1SNA    City1STL
## 1 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
## 2 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
## 3 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
## 4 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
## 5 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
## 6 -0.06334073 -0.06334073 -0.08391839 -0.07765424 -0.03162278 -0.09525048
##      City1SYR    City1TLH    City1TPA    City1TYS    City2ATL    City2AUS
## 1 -0.03162278 -0.03162278 -0.04474376 -0.03162278 18.22089460 -0.03162278
## 2 -0.03162278 -0.03162278 -0.04474376 -0.03162278 -0.05482717 -0.03162278
## 3 -0.03162278 -0.03162278 -0.04474376 -0.03162278 18.22089460 -0.03162278
## 4 -0.03162278 -0.03162278 -0.04474376 -0.03162278 -0.05482717 -0.03162278
## 5 -0.03162278 -0.03162278 -0.04474376 -0.03162278 -0.05482717 -0.03162278
## 6 -0.03162278 -0.03162278 -0.04474376 -0.03162278 -0.05482717 -0.03162278
##     City2BDL    City2BHM   City2BNA    City2BOS    City2BUF    City2BWI
## 1 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 -0.06334073
## 2 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 -0.06334073
## 3 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 -0.06334073
## 4 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 15.77184200
## 5 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 -0.06334073
## 6 -0.1004535 -0.03162278 -0.1274516 -0.04474376 -0.04474376 -0.06334073
##      City2CLE    City2CLT    City2CMH    City2CVG    City2DAY   City2DEN
## 1 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
## 2 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
## 3 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
## 4 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
## 5 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
## 6 -0.06334073 -0.05482717 -0.06334073 -0.05482717 -0.06334073 -0.1101526
##     City2DFW    City2DSM    City2DTW    City2ELP   City2FLL    City2FNT
## 1 -0.1274516 -0.03162278 -0.08391839 -0.05482717 -0.1190991 -0.03162278
## 2 -0.1274516 -0.03162278 -0.08391839 -0.05482717 -0.1190991 -0.03162278
## 3 -0.1274516 -0.03162278 -0.08391839 -0.05482717 -0.1190991 -0.03162278
## 4 -0.1274516 -0.03162278 -0.08391839 -0.05482717 -0.1190991 -0.03162278
## 5 -0.1274516 -0.03162278 -0.08391839 -0.05482717 -0.1190991 -0.03162278
## 6 -0.1274516 -0.03162278 -0.08391839 -0.05482717  8.3879761 -0.03162278
##      City2GEG    City2GPT    City2GSO    City2HPN    City2HRL   City2IAD
## 1 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
## 2 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
## 3 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
## 4 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
## 5 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
## 6 -0.09525048 -0.03162278 -0.05482717 -0.03162278 -0.03162278 -0.2040221
##     City2IAH    City2ICT    City2IND    City2ISP    City2JAN    City2JAX
## 1 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
## 2 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
## 3 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
## 4 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
## 5 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
## 6 -0.1427857 -0.03162278 -0.09525048 -0.05482717 -0.04474376 -0.08975774
##     City2LAS   City2LAX    City2LBB   City2LGA    City2LGB    City2LIT
## 1 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
## 2 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
## 3 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
## 4 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
## 5 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
## 6 -0.1633014 -0.1664977 -0.05482717 -0.2092785 -0.04474376 -0.05482717
##      City2MAF   City2MCI   City2MCO    City2MDT    City2MEM    City2MHT
## 1 -0.04474376 -0.1054098 -0.2118659 -0.03162278 -0.08391839 -0.07085267
## 2 -0.04474376 -0.1054098  4.7152474 -0.03162278 -0.08391839 -0.07085267
## 3 -0.04474376 -0.1054098 -0.2118659 -0.03162278 -0.08391839 -0.07085267
## 4 -0.04474376 -0.1054098 -0.2118659 -0.03162278 -0.08391839 -0.07085267
## 5 -0.04474376 -0.1054098 -0.2118659 -0.03162278 -0.08391839 -0.07085267
## 6 -0.04474376 -0.1054098 -0.2118659 -0.03162278 -0.08391839 -0.07085267
##     City2MIA   City2MKE   City2MSP   City2MSY   City2OAK   City2OKC    City2OMA
## 1 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
## 2 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
## 3 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
## 4 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
## 5 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
## 6 -0.1101526 -0.1004535 -0.1600481 -0.1390993 -0.1274516 -0.1004535 -0.08975774
##     City2ONT    City2ORD    City2ORF   City2PBI   City2PDX    City2PHF
## 1 -0.1004535 -0.09525048 -0.08975774 -0.1190991 -0.1499079 -0.03162278
## 2 -0.1004535 -0.09525048 -0.08975774 -0.1190991 -0.1499079 -0.03162278
## 3 -0.1004535 -0.09525048 -0.08975774 -0.1190991 -0.1499079 -0.03162278
## 4 -0.1004535 -0.09525048 -0.08975774 -0.1190991 -0.1499079 -0.03162278
## 5 -0.1004535 10.48813615 -0.08975774 -0.1190991 -0.1499079 -0.03162278
## 6 -0.1004535 -0.09525048 -0.08975774 -0.1190991 -0.1499079 -0.03162278
##     City2PHL   City2PHX   City2PIT    City2PNS   City2PVD    City2PWM
## 1 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
## 2 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
## 3 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
## 4 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
## 5 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
## 6 -0.1533555 -0.1931503 -0.1314409 -0.03162278 -0.1101526 -0.03162278
##     City2RDU    City2RIC    City2RNO    City2ROC    City2RSW   City2SAN
## 1 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
## 2 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
## 3 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
## 4 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
## 5 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
## 6 -0.1533555 -0.06334073 -0.09525048 -0.07085267 -0.09525048 -0.1931503
##     City2SAT    City2SAV    City2SDF   City2SEA   City2SFO   City2SJC
## 1 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
## 2 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
## 3 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
## 4 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
## 5 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
## 6 -0.1353204 -0.04474376 -0.07765424 -0.2092785 -0.1787729 -0.1499079
##     City2SLC   City2SMF   City2SNA    City2SRQ   City2STL    City2SYR
## 1 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
## 2 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
## 3 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
## 4 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
## 5 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
## 6 -0.1427857 -0.1314409 -0.1390993 -0.04474376 -0.1787729 -0.05482717
##      City2TLH   City2TPA    City2TUL   City2TUS Market.Leading.Airline..MLA.AA
## 1 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
## 2 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
## 3 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
## 4 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
## 5 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
## 6 -0.04474376 -0.2194762 -0.07765424 -0.1101526                     -0.3948586
##   Market.Leading.Airline..MLA.AS Market.Leading.Airline..MLA.B6
## 1                     -0.1817272                     -0.1190991
## 2                     -0.1817272                     -0.1190991
## 3                     -0.1817272                     -0.1190991
## 4                     -0.1817272                     -0.1190991
## 5                     -0.1817272                     -0.1190991
## 6                     -0.1817272                     -0.1190991
##   Market.Leading.Airline..MLA.CO Market.Leading.Airline..MLA.DL
## 1                     -0.2721024                     -0.4394589
## 2                     -0.2721024                     -0.4394589
## 3                     -0.2721024                      2.2732502
## 4                     -0.2721024                     -0.4394589
## 5                     -0.2721024                     -0.4394589
## 6                     -0.2721024                     -0.4394589
##   Market.Leading.Airline..MLA.F9 Market.Leading.Airline..MLA.FL
## 1                    -0.05482717                      7.8382715
## 2                    -0.05482717                      7.8382715
## 3                    -0.05482717                     -0.1274516
## 4                    -0.05482717                     -0.1274516
## 5                    -0.05482717                     -0.1274516
## 6                    -0.05482717                     -0.1274516
##   Market.Leading.Airline..MLA.G4 Market.Leading.Airline..MLA.HP
## 1                    -0.03162278                     -0.1757752
## 2                    -0.03162278                     -0.1757752
## 3                    -0.03162278                     -0.1757752
## 4                    -0.03162278                     -0.1757752
## 5                    -0.03162278                     -0.1757752
## 6                    -0.03162278                     -0.1757752
##   Market.Leading.Airline..MLA.NK Market.Leading.Airline..MLA.NW
## 1                     -0.1004535                     -0.3065906
## 2                     -0.1004535                     -0.3065906
## 3                     -0.1004535                     -0.3065906
## 4                     -0.1004535                     -0.3065906
## 5                     -0.1004535                     -0.3065906
## 6                     -0.1004535                     -0.3065906
##   Market.Leading.Airline..MLA.TZ Market.Leading.Airline..MLA.UA
## 1                     -0.1004535                     -0.3162434
## 2                     -0.1004535                     -0.3162434
## 3                     -0.1004535                     -0.3162434
## 4                     -0.1004535                     -0.3162434
## 5                     -0.1004535                      3.1589590
## 6                     -0.1004535                     -0.3162434
##   Market.Leading.Airline..MLA.US Market.Leading.Airline..MLA.WN
## 1                     -0.2699785                     -0.5878343
## 2                     -0.2699785                     -0.5878343
## 3                     -0.2699785                     -0.5878343
## 4                     -0.2699785                      1.6994586
## 5                     -0.2699785                     -0.5878343
## 6                     -0.2699785                      1.6994586
##   Market.Leading.Airline..MLA.YX Low.Price.Airline..LPA.AA
## 1                     -0.1274516                -0.3846525
## 2                     -0.1274516                -0.3846525
## 3                     -0.1274516                -0.3846525
## 4                     -0.1274516                -0.3846525
## 5                     -0.1274516                -0.3846525
## 6                     -0.1274516                -0.3846525
##   Low.Price.Airline..LPA.AQ Low.Price.Airline..LPA.AS Low.Price.Airline..LPA.AX
## 1               -0.04474376                -0.1664977               -0.05482717
## 2               -0.04474376                -0.1664977               -0.05482717
## 3               -0.04474376                -0.1664977               -0.05482717
## 4               -0.04474376                -0.1664977               -0.05482717
## 5               -0.04474376                -0.1664977               -0.05482717
## 6               -0.04474376                -0.1664977               -0.05482717
##   Low.Price.Airline..LPA.B6 Low.Price.Airline..LPA.CO Low.Price.Airline..LPA.DL
## 1                -0.1233418                -0.2169638                -0.4215192
## 2                -0.1233418                -0.2169638                 2.3699987
## 3                -0.1233418                 4.6044544                -0.4215192
## 4                -0.1233418                -0.2169638                -0.4215192
## 5                -0.1233418                -0.2169638                -0.4215192
## 6                -0.1233418                -0.2169638                 2.3699987
##   Low.Price.Airline..LPA.F9 Low.Price.Airline..LPA.FL Low.Price.Airline..LPA.G4
## 1                -0.1757752                 3.9561345               -0.03162278
## 2                -0.1757752                -0.2525192               -0.03162278
## 3                -0.1757752                -0.2525192               -0.03162278
## 4                -0.1757752                -0.2525192               -0.03162278
## 5                -0.1757752                -0.2525192               -0.03162278
## 6                -0.1757752                -0.2525192               -0.03162278
##   Low.Price.Airline..LPA.HP Low.Price.Airline..LPA.NK Low.Price.Airline..LPA.NW
## 1                -0.2480112                -0.1274516                -0.1846403
## 2                -0.2480112                -0.1274516                -0.1846403
## 3                -0.2480112                -0.1274516                -0.1846403
## 4                -0.2480112                -0.1274516                -0.1846403
## 5                -0.2480112                -0.1274516                -0.1846403
## 6                -0.2480112                -0.1274516                -0.1846403
##   Low.Price.Airline..LPA.SY Low.Price.Airline..LPA.TZ Low.Price.Airline..LPA.UA
## 1               -0.08391839                 -0.187514                -0.2411283
## 2               -0.08391839                 -0.187514                -0.2411283
## 3               -0.08391839                 -0.187514                -0.2411283
## 4               -0.08391839                 -0.187514                -0.2411283
## 5               -0.08391839                 -0.187514                -0.2411283
## 6               -0.08391839                 -0.187514                -0.2411283
##   Low.Price.Airline..LPA.US Low.Price.Airline..LPA.WN Low.Price.Airline..LPA.YX
## 1                -0.3350145                -0.5462624               -0.05482717
## 2                -0.3350145                -0.5462624               -0.05482717
## 3                -0.3350145                -0.5462624               -0.05482717
## 4                -0.3350145                 1.8287915               -0.05482717
## 5                -0.3350145                 1.8287915               -0.05482717
## 6                -0.3350145                -0.5462624               -0.05482717
# Create model matrix 
X <- model.matrix(Average.Flight.Fare ~ ., air1)

# Separate the target variable
Y <- air1$Average.Flight.Fare

# Define the lambda sequence
lambda <- 10^seq(10, -2, length = 100)
print(lambda)
##   [1] 1.000000e+10 7.564633e+09 5.722368e+09 4.328761e+09 3.274549e+09
##   [6] 2.477076e+09 1.873817e+09 1.417474e+09 1.072267e+09 8.111308e+08
##  [11] 6.135907e+08 4.641589e+08 3.511192e+08 2.656088e+08 2.009233e+08
##  [16] 1.519911e+08 1.149757e+08 8.697490e+07 6.579332e+07 4.977024e+07
##  [21] 3.764936e+07 2.848036e+07 2.154435e+07 1.629751e+07 1.232847e+07
##  [26] 9.326033e+06 7.054802e+06 5.336699e+06 4.037017e+06 3.053856e+06
##  [31] 2.310130e+06 1.747528e+06 1.321941e+06 1.000000e+06 7.564633e+05
##  [36] 5.722368e+05 4.328761e+05 3.274549e+05 2.477076e+05 1.873817e+05
##  [41] 1.417474e+05 1.072267e+05 8.111308e+04 6.135907e+04 4.641589e+04
##  [46] 3.511192e+04 2.656088e+04 2.009233e+04 1.519911e+04 1.149757e+04
##  [51] 8.697490e+03 6.579332e+03 4.977024e+03 3.764936e+03 2.848036e+03
##  [56] 2.154435e+03 1.629751e+03 1.232847e+03 9.326033e+02 7.054802e+02
##  [61] 5.336699e+02 4.037017e+02 3.053856e+02 2.310130e+02 1.747528e+02
##  [66] 1.321941e+02 1.000000e+02 7.564633e+01 5.722368e+01 4.328761e+01
##  [71] 3.274549e+01 2.477076e+01 1.873817e+01 1.417474e+01 1.072267e+01
##  [76] 8.111308e+00 6.135907e+00 4.641589e+00 3.511192e+00 2.656088e+00
##  [81] 2.009233e+00 1.519911e+00 1.149757e+00 8.697490e-01 6.579332e-01
##  [86] 4.977024e-01 3.764936e-01 2.848036e-01 2.154435e-01 1.629751e-01
##  [91] 1.232847e-01 9.326033e-02 7.054802e-02 5.336699e-02 4.037017e-02
##  [96] 3.053856e-02 2.310130e-02 1.747528e-02 1.321941e-02 1.000000e-02
# Split the data into training and validation sets
set.seed(123)
part <- sample(2, nrow(X), replace = TRUE, prob = c(0.7, 0.3))
X_train <- X[part == 1, ]
X_cv <- X[part == 2, ]
Y_train <- Y[part == 1]
Y_cv <- Y[part == 2]

# Perform Ridge regression
ridge_reg <- glmnet(X_train, Y_train, alpha = 0, lambda = lambda)
summary(ridge_reg)
##           Length Class     Mode   
## a0          100  -none-    numeric
## beta      21700  dgCMatrix S4     
## df          100  -none-    numeric
## dim           2  -none-    numeric
## lambda      100  -none-    numeric
## dev.ratio   100  -none-    numeric
## nulldev       1  -none-    numeric
## npasses       1  -none-    numeric
## jerr          1  -none-    numeric
## offset        1  -none-    logical
## call          5  -none-    call   
## nobs          1  -none-    numeric
# Find the best lambda via cross-validation
ridge_reg1 <- cv.glmnet(X_train, Y_train, alpha = 0)
bestlam <- ridge_reg1$lambda.min
print(bestlam)
## [1] 0.09790607
# Predict on the validation set
ridge.pred <- predict(ridge_reg, s = bestlam, newx = X_cv)

# Calculate mean squared error
mse <- mean((Y_cv - ridge.pred)^2)
print(paste("Mean Squared Error:", mse))
## [1] "Mean Squared Error: 0.0382175241817077"
# Calculate R2 value
sst <- sum((Y_cv - mean(Y_cv))^2)
sse <- sum((Y_cv - ridge.pred)^2)
r2 <- 1 - (sse / sst)
print(paste("R²:", r2))
## [1] "R²: 0.962440339230364"
# Get the Ridge regression coefficients
ridge.coef <- predict(ridge_reg, type = "coefficients", s = bestlam)
print("Ridge Coefficients:")
## [1] "Ridge Coefficients:"
print(ridge.coef)
## 218 x 1 sparse Matrix of class "dgCMatrix"
##                                           s1
## (Intercept)                     0.0048235849
## (Intercept)                     .           
## Distance                        0.1099495731
## Average.Weekly.Passengers      -0.0387842198
## Market.Share.MLA                0.0531392501
## Average.MLA.Fare                0.5076811579
## Market.Share.LPA               -0.0726859227
## Average.LPA.Fare                0.2406231801
## City1ABQ                       -0.0038716764
## City1ACY                       -0.0073428897
## City1ALB                       -0.0028684204
## City1AMA                       -0.0095332456
## City1ATL                        0.0175874744
## City1AUS                        0.0031069112
## City1BDL                       -0.0052307025
## City1BHM                        0.0013054701
## City1BNA                        0.0018342874
## City1BOI                       -0.0105164506
## City1BOS                        0.0170169071
## City1BTV                        .           
## City1BUF                       -0.0141411029
## City1BUR                       -0.0123189262
## City1BWI                       -0.0070126773
## City1CAE                        .           
## City1CAK                       -0.0031260034
## City1CHS                       -0.0030350228
## City1CLE                        0.0104575743
## City1CLT                        0.0118211055
## City1CMH                       -0.0207155589
## City1COS                       -0.0059245493
## City1CRP                       -0.0041879216
## City1CVG                        0.0272323065
## City1DAY                       -0.0046936652
## City1DEN                        0.0071671768
## City1DFW                        0.0241111476
## City1DSM                       -0.0024849716
## City1DTW                        0.0134629733
## City1ELP                       -0.0088225601
## City1EUG                        .           
## City1FLL                       -0.0234146506
## City1FNT                       -0.0063996173
## City1GPT                       -0.0011667592
## City1GRR                       -0.0136267415
## City1GSO                       -0.0077809285
## City1GSP                        0.0033419213
## City1HRL                       -0.0076285360
## City1IAD                       -0.0041590817
## City1IAH                        0.0247704606
## City1IND                       -0.0174930385
## City1ISP                       -0.0160863172
## City1JAX                       -0.0115237111
## City1LAS                       -0.0173187302
## City1LAX                        0.0128206520
## City1LGA                        0.0390348463
## City1LGB                       -0.0184528348
## City1LIT                       -0.0067685441
## City1MCI                       -0.0027859711
## City1MCO                       -0.0129219064
## City1MDT                        .           
## City1MEM                        0.0059007028
## City1MHT                       -0.0058560638
## City1MIA                        0.0011219309
## City1MKE                       -0.0053139363
## City1MSN                       -0.0071346328
## City1MSP                        0.0123770482
## City1MSY                       -0.0133232562
## City1MYR                       -0.0096275608
## City1OAK                       -0.0060367666
## City1OKC                       -0.0008536968
## City1OMA                       -0.0063710507
## City1ONT                       -0.0080729050
## City1ORD                        0.0110057724
## City1ORF                       -0.0013921104
## City1PDX                       -0.0135806920
## City1PHF                       -0.0081222795
## City1PHL                        0.0201477341
## City1PHX                       -0.0004554018
## City1PIT                       -0.0034505199
## City1PSP                       -0.0134043618
## City1PVD                       -0.0073325409
## City1RDU                       -0.0047554016
## City1RNO                       -0.0120029508
## City1ROC                       -0.0046729804
## City1RSW                       -0.0307934329
## City1SAN                       -0.0061451135
## City1SAT                        0.0032930690
## City1SDF                       -0.0005128854
## City1SEA                       -0.0040366306
## City1SFO                       -0.0079990608
## City1SJC                       -0.0005443619
## City1SLC                       -0.0164703569
## City1SMF                       -0.0062943786
## City1SNA                        0.0022917603
## City1STL                       -0.0050383835
## City1SYR                        .           
## City1TLH                       -0.0009670047
## City1TPA                       -0.0133742040
## City1TYS                        0.0044308635
## City2ATL                        0.0064366122
## City2AUS                        .           
## City2BDL                        0.0134063821
## City2BHM                        0.0004287506
## City2BNA                       -0.0081328870
## City2BOS                        0.0039392375
## City2BUF                       -0.0076288718
## City2BWI                        0.0036137215
## City2CLE                        0.0123223738
## City2CLT                        0.0114999844
## City2CMH                        0.0092817482
## City2CVG                        0.0313164102
## City2DAY                       -0.0065573054
## City2DEN                        0.0034510908
## City2DFW                        0.0080155963
## City2DSM                        0.0011788219
## City2DTW                        0.0020038795
## City2ELP                       -0.0124443559
## City2FLL                       -0.0112091421
## City2FNT                       -0.0016701691
## City2GEG                       -0.0094572740
## City2GPT                       -0.0018604922
## City2GSO                       -0.0114625131
## City2HPN                        0.0033211277
## City2HRL                       -0.0034180736
## City2IAD                        0.0420445129
## City2IAH                        0.0112398942
## City2ICT                       -0.0007161067
## City2IND                        0.0042906480
## City2ISP                       -0.0009110221
## City2JAN                       -0.0110482815
## City2JAX                       -0.0154144033
## City2LAS                       -0.0216152621
## City2LAX                        0.0063071586
## City2LBB                       -0.0133377211
## City2LGA                        0.0344256657
## City2LGB                       -0.0008074996
## City2LIT                       -0.0037659357
## City2MAF                       -0.0064610468
## City2MCI                       -0.0107603353
## City2MCO                       -0.0158817462
## City2MDT                        0.0043956930
## City2MEM                        0.0040747038
## City2MHT                       -0.0110384177
## City2MIA                        0.0039551006
## City2MKE                        0.0041934024
## City2MSP                        0.0396108706
## City2MSY                       -0.0140079307
## City2OAK                        0.0036537974
## City2OKC                       -0.0084846083
## City2OMA                       -0.0023741086
## City2ONT                       -0.0081676351
## City2ORD                        0.0077188611
## City2ORF                        0.0004043445
## City2PBI                       -0.0152030820
## City2PDX                        0.0041259617
## City2PHF                       -0.0032518420
## City2PHL                        0.0123650341
## City2PHX                       -0.0162939205
## City2PIT                        0.0040086185
## City2PNS                        .           
## City2PVD                       -0.0020945906
## City2PWM                        0.0037964066
## City2RDU                       -0.0193152497
## City2RIC                        0.0060977133
## City2RNO                       -0.0101499368
## City2ROC                        0.0009094769
## City2RSW                       -0.0141646308
## City2SAN                       -0.0089620527
## City2SAT                        0.0008734934
## City2SAV                        .           
## City2SDF                        0.0013733821
## City2SEA                       -0.0015654822
## City2SFO                        0.0151350367
## City2SJC                       -0.0044996930
## City2SLC                        0.0022841062
## City2SMF                       -0.0073545316
## City2SNA                       -0.0002424170
## City2SRQ                       -0.0079041518
## City2STL                        0.0032713699
## City2SYR                       -0.0054724704
## City2TLH                       -0.0096139360
## City2TPA                       -0.0142616046
## City2TUL                       -0.0053297435
## City2TUS                       -0.0067311090
## Market.Leading.Airline..MLA.AA  0.0312395997
## Market.Leading.Airline..MLA.AS -0.0098739908
## Market.Leading.Airline..MLA.B6 -0.0021601156
## Market.Leading.Airline..MLA.CO -0.0075955212
## Market.Leading.Airline..MLA.DL  0.0100481850
## Market.Leading.Airline..MLA.F9  0.0160671565
## Market.Leading.Airline..MLA.FL -0.0029673762
## Market.Leading.Airline..MLA.G4  0.0070059522
## Market.Leading.Airline..MLA.HP -0.0077112292
## Market.Leading.Airline..MLA.NK  0.0096713262
## Market.Leading.Airline..MLA.NW  0.0220870071
## Market.Leading.Airline..MLA.TZ  0.0083668672
## Market.Leading.Airline..MLA.UA -0.0048497260
## Market.Leading.Airline..MLA.US  0.0091243117
## Market.Leading.Airline..MLA.WN -0.0436411415
## Market.Leading.Airline..MLA.YX -0.0104569660
## Low.Price.Airline..LPA.AA      -0.0058565938
## Low.Price.Airline..LPA.AQ      -0.0046958776
## Low.Price.Airline..LPA.AS       0.0005642309
## Low.Price.Airline..LPA.AX       0.0117490215
## Low.Price.Airline..LPA.B6      -0.0110748131
## Low.Price.Airline..LPA.CO       0.0125673300
## Low.Price.Airline..LPA.DL       0.0062989999
## Low.Price.Airline..LPA.F9       0.0002858695
## Low.Price.Airline..LPA.FL      -0.0353375060
## Low.Price.Airline..LPA.G4       0.0068994097
## Low.Price.Airline..LPA.HP       0.0088809877
## Low.Price.Airline..LPA.NK      -0.0083659405
## Low.Price.Airline..LPA.NW       0.0042527024
## Low.Price.Airline..LPA.SY       0.0003067789
## Low.Price.Airline..LPA.TZ       0.0043285101
## Low.Price.Airline..LPA.UA       0.0100185054
## Low.Price.Airline..LPA.US       0.0133980821
## Low.Price.Airline..LPA.WN      -0.0068112713
## Low.Price.Airline..LPA.YX       0.0007845976
#Lasso regression for Model 1

lasso_reg <- glmnet(X_train, Y_train, alpha = 1, lambda = lambda)

# Find the best lambda via cross-validation
lasso_reg1 <- cv.glmnet(X_train, Y_train, alpha = 1)
bestlam <- lasso_reg1$lambda.min

# Predict on the validation set
lasso.pred <- predict(lasso_reg, s = bestlam, newx = X_cv)

# Calculate mean squared error
mse <- mean((Y_cv - lasso.pred)^2)
print(paste("Mean Squared Error:", mse))
## [1] "Mean Squared Error: 0.0292821348606005"
# Calculate R2 value
sst <- sum((Y_cv - mean(Y_cv))^2)
sse <- sum((Y_cv - lasso.pred)^2)
r2 <- 1 - (sse / sst)
print(paste("R²:", r2))
## [1] "R²: 0.971221917810644"
# Get the Lasso regression coefficients
lasso.coef <- predict(lasso_reg, type = "coefficients", s = bestlam)
print("Lasso Coefficients:")
## [1] "Lasso Coefficients:"
print(lasso.coef)
## 218 x 1 sparse Matrix of class "dgCMatrix"
##                                           s1
## (Intercept)                     1.233455e-03
## (Intercept)                     .           
## Distance                        1.202526e-02
## Average.Weekly.Passengers      -1.076574e-02
## Market.Share.MLA                .           
## Average.MLA.Fare                8.426525e-01
## Market.Share.LPA               -1.289130e-02
## Average.LPA.Fare                1.434164e-01
## City1ABQ                        .           
## City1ACY                        .           
## City1ALB                        .           
## City1AMA                        .           
## City1ATL                        .           
## City1AUS                        .           
## City1BDL                        .           
## City1BHM                        .           
## City1BNA                        .           
## City1BOI                        .           
## City1BOS                        .           
## City1BTV                        .           
## City1BUF                        .           
## City1BUR                        .           
## City1BWI                        .           
## City1CAE                        .           
## City1CAK                        .           
## City1CHS                        .           
## City1CLE                        .           
## City1CLT                        .           
## City1CMH                       -2.049263e-03
## City1COS                        .           
## City1CRP                        .           
## City1CVG                        3.512094e-04
## City1DAY                        .           
## City1DEN                        .           
## City1DFW                        .           
## City1DSM                        .           
## City1DTW                        .           
## City1ELP                        .           
## City1EUG                        .           
## City1FLL                        .           
## City1FNT                        .           
## City1GPT                        .           
## City1GRR                        .           
## City1GSO                        .           
## City1GSP                        .           
## City1HRL                        .           
## City1IAD                        .           
## City1IAH                        .           
## City1IND                        .           
## City1ISP                        .           
## City1JAX                        .           
## City1LAS                        .           
## City1LAX                        .           
## City1LGA                        .           
## City1LGB                        .           
## City1LIT                        .           
## City1MCI                        .           
## City1MCO                        .           
## City1MDT                        .           
## City1MEM                        .           
## City1MHT                        .           
## City1MIA                        .           
## City1MKE                        .           
## City1MSN                        .           
## City1MSP                        .           
## City1MSY                        .           
## City1MYR                        .           
## City1OAK                        .           
## City1OKC                        .           
## City1OMA                        .           
## City1ONT                        .           
## City1ORD                        5.392241e-03
## City1ORF                        .           
## City1PDX                        .           
## City1PHF                        .           
## City1PHL                        2.253072e-03
## City1PHX                        .           
## City1PIT                        .           
## City1PSP                        .           
## City1PVD                        .           
## City1RDU                        .           
## City1RNO                        .           
## City1ROC                        .           
## City1RSW                        .           
## City1SAN                        .           
## City1SAT                        1.185846e-03
## City1SDF                        .           
## City1SEA                        .           
## City1SFO                        .           
## City1SJC                       -2.054821e-03
## City1SLC                        .           
## City1SMF                        .           
## City1SNA                        .           
## City1STL                        .           
## City1SYR                        .           
## City1TLH                        .           
## City1TPA                        .           
## City1TYS                        .           
## City2ATL                        .           
## City2AUS                        .           
## City2BDL                        .           
## City2BHM                        .           
## City2BNA                        .           
## City2BOS                        .           
## City2BUF                        .           
## City2BWI                        .           
## City2CLE                        .           
## City2CLT                        .           
## City2CMH                        .           
## City2CVG                        3.479620e-03
## City2DAY                        .           
## City2DEN                        .           
## City2DFW                        .           
## City2DSM                        .           
## City2DTW                        .           
## City2ELP                        .           
## City2FLL                        .           
## City2FNT                        .           
## City2GEG                        .           
## City2GPT                        .           
## City2GSO                        .           
## City2HPN                        .           
## City2HRL                        .           
## City2IAD                        .           
## City2IAH                        .           
## City2ICT                        .           
## City2IND                        .           
## City2ISP                        .           
## City2JAN                        .           
## City2JAX                        .           
## City2LAS                        .           
## City2LAX                        .           
## City2LBB                        .           
## City2LGA                        .           
## City2LGB                        .           
## City2LIT                        .           
## City2MAF                        .           
## City2MCI                        .           
## City2MCO                        .           
## City2MDT                        .           
## City2MEM                        .           
## City2MHT                        .           
## City2MIA                        .           
## City2MKE                        .           
## City2MSP                        .           
## City2MSY                        .           
## City2OAK                        .           
## City2OKC                        .           
## City2OMA                        .           
## City2ONT                        .           
## City2ORD                        .           
## City2ORF                        .           
## City2PBI                        .           
## City2PDX                        .           
## City2PHF                        .           
## City2PHL                        .           
## City2PHX                       -2.554718e-03
## City2PIT                        .           
## City2PNS                        .           
## City2PVD                        .           
## City2PWM                        2.854612e-03
## City2RDU                       -2.966510e-03
## City2RIC                        .           
## City2RNO                        .           
## City2ROC                        .           
## City2RSW                        .           
## City2SAN                        .           
## City2SAT                        .           
## City2SAV                        .           
## City2SDF                        .           
## City2SEA                        .           
## City2SFO                        .           
## City2SJC                        .           
## City2SLC                        .           
## City2SMF                        .           
## City2SNA                        .           
## City2SRQ                        .           
## City2STL                        .           
## City2SYR                        .           
## City2TLH                        .           
## City2TPA                        .           
## City2TUL                        .           
## City2TUS                        .           
## Market.Leading.Airline..MLA.AA  3.634147e-03
## Market.Leading.Airline..MLA.AS  .           
## Market.Leading.Airline..MLA.B6  2.231912e-04
## Market.Leading.Airline..MLA.CO -2.437281e-03
## Market.Leading.Airline..MLA.DL  .           
## Market.Leading.Airline..MLA.F9  6.514889e-03
## Market.Leading.Airline..MLA.FL  .           
## Market.Leading.Airline..MLA.G4  3.791177e-03
## Market.Leading.Airline..MLA.HP  .           
## Market.Leading.Airline..MLA.NK  .           
## Market.Leading.Airline..MLA.NW  .           
## Market.Leading.Airline..MLA.TZ  .           
## Market.Leading.Airline..MLA.UA -3.185118e-02
## Market.Leading.Airline..MLA.US  .           
## Market.Leading.Airline..MLA.WN -1.403704e-02
## Market.Leading.Airline..MLA.YX -1.445743e-04
## Low.Price.Airline..LPA.AA       .           
## Low.Price.Airline..LPA.AQ       .           
## Low.Price.Airline..LPA.AS       .           
## Low.Price.Airline..LPA.AX       .           
## Low.Price.Airline..LPA.B6       .           
## Low.Price.Airline..LPA.CO       6.048242e-03
## Low.Price.Airline..LPA.DL       .           
## Low.Price.Airline..LPA.F9       .           
## Low.Price.Airline..LPA.FL      -7.513595e-03
## Low.Price.Airline..LPA.G4       3.164509e-05
## Low.Price.Airline..LPA.HP       .           
## Low.Price.Airline..LPA.NK       .           
## Low.Price.Airline..LPA.NW       .           
## Low.Price.Airline..LPA.SY       .           
## Low.Price.Airline..LPA.TZ       .           
## Low.Price.Airline..LPA.UA       .           
## Low.Price.Airline..LPA.US       6.158888e-03
## Low.Price.Airline..LPA.WN       .           
## Low.Price.Airline..LPA.YX       .
#Ridge Regression for Model 2


# Load necessary libraries



names(air)
## [1] "Average.Flight.Fare"       "Distance"                 
## [3] "Average.Weekly.Passengers" "Market.Share.MLA"         
## [5] "Average.MLA.Fare"          "Market.Share.LPA"         
## [7] "Average.LPA.Fare"
# View the first few rows of the dataset
head(air)
##   Average.Flight.Fare   Distance Average.Weekly.Passengers Market.Share.MLA
## 1          -0.9368159 -0.8505674                -0.2338755        0.5154121
## 2          -0.7897959 -0.3327826                -0.6833202        0.7708175
## 3           0.9000153 -0.3452593                -0.8691588        0.9679634
## 4          -1.7650899 -1.2248697                 0.3207194        1.9084378
## 5          -0.1344543 -0.5464468                -0.5731801       -1.0659165
## 6          -0.5564017  0.2037174                -0.9200910       -1.0196210
##   Average.MLA.Fare Market.Share.LPA Average.LPA.Fare
## 1       -0.9379300        1.3351633     -0.735564651
## 2       -0.7417904       -0.6291264     -0.565193579
## 3        0.8990496       -1.1654487      0.472540712
## 4       -1.6237683        2.3284352     -1.643851390
## 5       -0.1193803       -0.6992266      0.005151045
## 6       -0.4997872       -0.6343190     -0.376730004
# Create model matrix 
X <- model.matrix(Average.Flight.Fare ~ ., air)

# Separate the target variable
Y <- air$Average.Flight.Fare

# Define the lambda sequence
lambda <- 10^seq(10, -2, length = 100)
print(lambda)
##   [1] 1.000000e+10 7.564633e+09 5.722368e+09 4.328761e+09 3.274549e+09
##   [6] 2.477076e+09 1.873817e+09 1.417474e+09 1.072267e+09 8.111308e+08
##  [11] 6.135907e+08 4.641589e+08 3.511192e+08 2.656088e+08 2.009233e+08
##  [16] 1.519911e+08 1.149757e+08 8.697490e+07 6.579332e+07 4.977024e+07
##  [21] 3.764936e+07 2.848036e+07 2.154435e+07 1.629751e+07 1.232847e+07
##  [26] 9.326033e+06 7.054802e+06 5.336699e+06 4.037017e+06 3.053856e+06
##  [31] 2.310130e+06 1.747528e+06 1.321941e+06 1.000000e+06 7.564633e+05
##  [36] 5.722368e+05 4.328761e+05 3.274549e+05 2.477076e+05 1.873817e+05
##  [41] 1.417474e+05 1.072267e+05 8.111308e+04 6.135907e+04 4.641589e+04
##  [46] 3.511192e+04 2.656088e+04 2.009233e+04 1.519911e+04 1.149757e+04
##  [51] 8.697490e+03 6.579332e+03 4.977024e+03 3.764936e+03 2.848036e+03
##  [56] 2.154435e+03 1.629751e+03 1.232847e+03 9.326033e+02 7.054802e+02
##  [61] 5.336699e+02 4.037017e+02 3.053856e+02 2.310130e+02 1.747528e+02
##  [66] 1.321941e+02 1.000000e+02 7.564633e+01 5.722368e+01 4.328761e+01
##  [71] 3.274549e+01 2.477076e+01 1.873817e+01 1.417474e+01 1.072267e+01
##  [76] 8.111308e+00 6.135907e+00 4.641589e+00 3.511192e+00 2.656088e+00
##  [81] 2.009233e+00 1.519911e+00 1.149757e+00 8.697490e-01 6.579332e-01
##  [86] 4.977024e-01 3.764936e-01 2.848036e-01 2.154435e-01 1.629751e-01
##  [91] 1.232847e-01 9.326033e-02 7.054802e-02 5.336699e-02 4.037017e-02
##  [96] 3.053856e-02 2.310130e-02 1.747528e-02 1.321941e-02 1.000000e-02
# Split the data into training and validation sets
set.seed(123)
part <- sample(2, nrow(X), replace = TRUE, prob = c(0.7, 0.3))
X_train <- X[part == 1, ]
X_cv <- X[part == 2, ]
Y_train <- Y[part == 1]
Y_cv <- Y[part == 2]

# Perform Ridge regression
ridge_reg <- glmnet(X_train, Y_train, alpha = 0, lambda = lambda)
summary(ridge_reg)
##           Length Class     Mode   
## a0        100    -none-    numeric
## beta      700    dgCMatrix S4     
## df        100    -none-    numeric
## dim         2    -none-    numeric
## lambda    100    -none-    numeric
## dev.ratio 100    -none-    numeric
## nulldev     1    -none-    numeric
## npasses     1    -none-    numeric
## jerr        1    -none-    numeric
## offset      1    -none-    logical
## call        5    -none-    call   
## nobs        1    -none-    numeric
# Find the best lambda via cross-validation
ridge_reg1 <- cv.glmnet(X_train, Y_train, alpha = 0)
bestlam <- ridge_reg1$lambda.min
print(bestlam)
## [1] 0.09578835
# Predict on the validation set
ridge.pred <- predict(ridge_reg, s = bestlam, newx = X_cv)

# Calculate mean squared error
mse <- mean((Y_cv - ridge.pred)^2)
print(paste("Mean Squared Error:", mse))
## [1] "Mean Squared Error: 0.035861413515817"
# Calculate R2 value
sst <- sum((Y_cv - mean(Y_cv))^2)
sse <- sum((Y_cv - ridge.pred)^2)
r2 <- 1 - (sse / sst)
print(paste("R²:", r2))
## [1] "R²: 0.967367833682311"
# Get the Ridge regression coefficients
ridge.coef <- predict(ridge_reg, type = "coefficients", s = bestlam)
print("Ridge Coefficients:")
## [1] "Ridge Coefficients:"
print(ridge.coef)
## 8 x 1 sparse Matrix of class "dgCMatrix"
##                                     s1
## (Intercept)                0.006104435
## (Intercept)                .          
## Distance                   0.054113759
## Average.Weekly.Passengers -0.021209760
## Market.Share.MLA           0.043969523
## Average.MLA.Fare           0.633000044
## Market.Share.LPA          -0.072504226
## Average.LPA.Fare           0.281564539
#Lasso regression for Model 2

lasso_reg <- glmnet(X_train, Y_train, alpha = 1, lambda = lambda)

# Find the best lambda via cross-validation
lasso_reg1 <- cv.glmnet(X_train, Y_train, alpha = 1)
bestlam <- lasso_reg1$lambda.min

# Predict on the validation set
lasso.pred <- predict(lasso_reg, s = bestlam, newx = X_cv)

# Calculate mean squared error
mse <- mean((Y_cv - lasso.pred)^2)
print(paste("Mean Squared Error:", mse))
## [1] "Mean Squared Error: 0.027161488860179"
# Calculate R2 value
sst <- sum((Y_cv - mean(Y_cv))^2)
sse <- sum((Y_cv - lasso.pred)^2)
r2 <- 1 - (sse / sst)
print(paste("R²:", r2))
## [1] "R²: 0.975284347853983"
# Get the Lasso regression coefficients
lasso.coef <- predict(lasso_reg, type = "coefficients", s = bestlam)
print("Lasso Coefficients:")
## [1] "Lasso Coefficients:"
print(lasso.coef)
## 8 x 1 sparse Matrix of class "dgCMatrix"
##                                      s1
## (Intercept)                0.0061523685
## (Intercept)                .           
## Distance                   0.0145426104
## Average.Weekly.Passengers -0.0180372510
## Market.Share.MLA           0.0005508776
## Average.MLA.Fare           0.8118474834
## Market.Share.LPA          -0.0121903117
## Average.LPA.Fare           0.1769229906